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Finding the Fourth Proportional to 840.70, 1,160.40 and 592

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Solution

The fourth proportional to 840.70, 1,160.40 and 592 is: 817.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.70 : 1,160.40 = 592 : x
  2. Step 2: Convert to fraction form
    840.70/1,160.40 = 592/x
  3. Step 3: Cross multiply
    840.70x = 1,160.40 × 592
  4. Step 4: Simplify right side
    840.70x = 686,956.80
  5. Step 5: Solve for x
    x = 686,956.80/840.70
  6. Step 6: Final answer
    x = 817.12

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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.