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Finding the Fourth Proportional to 611.74, 915.10 and 509.17

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Solution

The fourth proportional to 611.74, 915.10 and 509.17 is: 761.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.74 : 915.10 = 509.17 : x
  2. Step 2: Convert to fraction form
    611.74/915.10 = 509.17/x
  3. Step 3: Cross multiply
    611.74x = 915.10 × 509.17
  4. Step 4: Simplify right side
    611.74x = 465,936.89
  5. Step 5: Solve for x
    x = 465,936.89/611.74
  6. Step 6: Final answer
    x = 761.66

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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.