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Finding the Fourth Proportional to 802.42, 1,106.01 and 732.71

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Solution

The fourth proportional to 802.42, 1,106.01 and 732.71 is: 1,009.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.42 : 1,106.01 = 732.71 : x
  2. Step 2: Convert to fraction form
    802.42/1,106.01 = 732.71/x
  3. Step 3: Cross multiply
    802.42x = 1,106.01 × 732.71
  4. Step 4: Simplify right side
    802.42x = 810,387.35
  5. Step 5: Solve for x
    x = 810,387.35/802.42
  6. Step 6: Final answer
    x = 1,009.93

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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.