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Finding the Fourth Proportional to 802.10, 1,203.15 and 542.90

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Solution

The fourth proportional to 802.10, 1,203.15 and 542.90 is: 814.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.10 : 1,203.15 = 542.90 : x
  2. Step 2: Convert to fraction form
    802.10/1,203.15 = 542.90/x
  3. Step 3: Cross multiply
    802.10x = 1,203.15 × 542.90
  4. Step 4: Simplify right side
    802.10x = 653,190.14
  5. Step 5: Solve for x
    x = 653,190.14/802.10
  6. Step 6: Final answer
    x = 814.35

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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.