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Finding the Fourth Proportional to 508.56, 761.16 and 431.64

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Solution

The fourth proportional to 508.56, 761.16 and 431.64 is: 646.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.56 : 761.16 = 431.64 : x
  2. Step 2: Convert to fraction form
    508.56/761.16 = 431.64/x
  3. Step 3: Cross multiply
    508.56x = 761.16 × 431.64
  4. Step 4: Simplify right side
    508.56x = 328,547.10
  5. Step 5: Solve for x
    x = 328,547.10/508.56
  6. Step 6: Final answer
    x = 646.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.