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Finding the Fourth Proportional to 802.68, 1,204.16 and 392.10

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Solution

The fourth proportional to 802.68, 1,204.16 and 392.10 is: 588.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.68 : 1,204.16 = 392.10 : x
  2. Step 2: Convert to fraction form
    802.68/1,204.16 = 392.10/x
  3. Step 3: Cross multiply
    802.68x = 1,204.16 × 392.10
  4. Step 4: Simplify right side
    802.68x = 472,151.14
  5. Step 5: Solve for x
    x = 472,151.14/802.68
  6. Step 6: Final answer
    x = 588.22

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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.