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Finding the Fourth Proportional to 702.49, 1,054.26 and 567.16

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Solution

The fourth proportional to 702.49, 1,054.26 and 567.16 is: 851.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.49 : 1,054.26 = 567.16 : x
  2. Step 2: Convert to fraction form
    702.49/1,054.26 = 567.16/x
  3. Step 3: Cross multiply
    702.49x = 1,054.26 × 567.16
  4. Step 4: Simplify right side
    702.49x = 597,934.10
  5. Step 5: Solve for x
    x = 597,934.10/702.49
  6. Step 6: Final answer
    x = 851.16

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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.