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Finding the Fourth Proportional to 802.43, 1,202.56 and 707.39

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Solution

The fourth proportional to 802.43, 1,202.56 and 707.39 is: 1,060.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.43 : 1,202.56 = 707.39 : x
  2. Step 2: Convert to fraction form
    802.43/1,202.56 = 707.39/x
  3. Step 3: Cross multiply
    802.43x = 1,202.56 × 707.39
  4. Step 4: Simplify right side
    802.43x = 850,678.92
  5. Step 5: Solve for x
    x = 850,678.92/802.43
  6. Step 6: Final answer
    x = 1,060.13

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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.