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Finding the Fourth Proportional to 840.72, 1,160.27 and 509.23

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Solution

The fourth proportional to 840.72, 1,160.27 and 509.23 is: 702.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.72 : 1,160.27 = 509.23 : x
  2. Step 2: Convert to fraction form
    840.72/1,160.27 = 509.23/x
  3. Step 3: Cross multiply
    840.72x = 1,160.27 × 509.23
  4. Step 4: Simplify right side
    840.72x = 590,841.75
  5. Step 5: Solve for x
    x = 590,841.75/840.72
  6. Step 6: Final answer
    x = 702.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.