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Finding the Fourth Proportional to 802.43, 1,205.02 and 437.93

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Solution

The fourth proportional to 802.43, 1,205.02 and 437.93 is: 657.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.43 : 1,205.02 = 437.93 : x
  2. Step 2: Convert to fraction form
    802.43/1,205.02 = 437.93/x
  3. Step 3: Cross multiply
    802.43x = 1,205.02 × 437.93
  4. Step 4: Simplify right side
    802.43x = 527,714.41
  5. Step 5: Solve for x
    x = 527,714.41/802.43
  6. Step 6: Final answer
    x = 657.65

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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.