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Finding the Fourth Proportional to 582.90, 804.79 and 362.18

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Solution

The fourth proportional to 582.90, 804.79 and 362.18 is: 500.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.90 : 804.79 = 362.18 : x
  2. Step 2: Convert to fraction form
    582.90/804.79 = 362.18/x
  3. Step 3: Cross multiply
    582.90x = 804.79 × 362.18
  4. Step 4: Simplify right side
    582.90x = 291,478.84
  5. Step 5: Solve for x
    x = 291,478.84/582.90
  6. Step 6: Final answer
    x = 500.05

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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.