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Finding the Fourth Proportional to 702.67, 1,054.28 and 521.59

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Solution

The fourth proportional to 702.67, 1,054.28 and 521.59 is: 782.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.67 : 1,054.28 = 521.59 : x
  2. Step 2: Convert to fraction form
    702.67/1,054.28 = 521.59/x
  3. Step 3: Cross multiply
    702.67x = 1,054.28 × 521.59
  4. Step 4: Simplify right side
    702.67x = 549,901.91
  5. Step 5: Solve for x
    x = 549,901.91/702.67
  6. Step 6: Final answer
    x = 782.59

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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.