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Finding the Fourth Proportional to 702.60, 1,055.10 and 460.20

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Solution

The fourth proportional to 702.60, 1,055.10 and 460.20 is: 691.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.60 : 1,055.10 = 460.20 : x
  2. Step 2: Convert to fraction form
    702.60/1,055.10 = 460.20/x
  3. Step 3: Cross multiply
    702.60x = 1,055.10 × 460.20
  4. Step 4: Simplify right side
    702.60x = 485,557.02
  5. Step 5: Solve for x
    x = 485,557.02/702.60
  6. Step 6: Final answer
    x = 691.09

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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.