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Finding the Fourth Proportional to 611.61, 913.02 and 524

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Solution

The fourth proportional to 611.61, 913.02 and 524 is: 782.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.61 : 913.02 = 524 : x
  2. Step 2: Convert to fraction form
    611.61/913.02 = 524/x
  3. Step 3: Cross multiply
    611.61x = 913.02 × 524
  4. Step 4: Simplify right side
    611.61x = 478,419.86
  5. Step 5: Solve for x
    x = 478,419.86/611.61
  6. Step 6: Final answer
    x = 782.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.