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Finding the Fourth Proportional to 802.70, 1,204.05 and 710.90

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Solution

The fourth proportional to 802.70, 1,204.05 and 710.90 is: 1,066.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.70 : 1,204.05 = 710.90 : x
  2. Step 2: Convert to fraction form
    802.70/1,204.05 = 710.90/x
  3. Step 3: Cross multiply
    802.70x = 1,204.05 × 710.90
  4. Step 4: Simplify right side
    802.70x = 855,959.15
  5. Step 5: Solve for x
    x = 855,959.15/802.70
  6. Step 6: Final answer
    x = 1,066.35

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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.