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Finding the Fourth Proportional to 582.75, 804.04 and 346.63

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Solution

The fourth proportional to 582.75, 804.04 and 346.63 is: 478.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.75 : 804.04 = 346.63 : x
  2. Step 2: Convert to fraction form
    582.75/804.04 = 346.63/x
  3. Step 3: Cross multiply
    582.75x = 804.04 × 346.63
  4. Step 4: Simplify right side
    582.75x = 278,704.39
  5. Step 5: Solve for x
    x = 278,704.39/582.75
  6. Step 6: Final answer
    x = 478.26

Related Problems

Find fourth proportional to 291.38, 402.02 and 173.32
Half scale
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Double scale
Find fourth proportional to 583.75, 805.42 and 347.63
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.