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Finding the Fourth Proportional to 566.08, 777.02 and 502.52

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Solution

The fourth proportional to 566.08, 777.02 and 502.52 is: 689.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.08 : 777.02 = 502.52 : x
  2. Step 2: Convert to fraction form
    566.08/777.02 = 502.52/x
  3. Step 3: Cross multiply
    566.08x = 777.02 × 502.52
  4. Step 4: Simplify right side
    566.08x = 390,468.09
  5. Step 5: Solve for x
    x = 390,468.09/566.08
  6. Step 6: Final answer
    x = 689.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.