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Finding the Fourth Proportional to 582.77, 803.87 and 346.63

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Solution

The fourth proportional to 582.77, 803.87 and 346.63 is: 478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.77 : 803.87 = 346.63 : x
  2. Step 2: Convert to fraction form
    582.77/803.87 = 346.63/x
  3. Step 3: Cross multiply
    582.77x = 803.87 × 346.63
  4. Step 4: Simplify right side
    582.77x = 278,645.46
  5. Step 5: Solve for x
    x = 278,645.46/582.77
  6. Step 6: Final answer
    x = 478.14

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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.