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Finding the Fourth Proportional to 508.60, 761.64 and 417.52

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Solution

The fourth proportional to 508.60, 761.64 and 417.52 is: 625.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.60 : 761.64 = 417.52 : x
  2. Step 2: Convert to fraction form
    508.60/761.64 = 417.52/x
  3. Step 3: Cross multiply
    508.60x = 761.64 × 417.52
  4. Step 4: Simplify right side
    508.60x = 317,999.93
  5. Step 5: Solve for x
    x = 317,999.93/508.60
  6. Step 6: Final answer
    x = 625.25

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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.