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Finding the Fourth Proportional to 702.99, 1,052.60 and 458.91

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Solution

The fourth proportional to 702.99, 1,052.60 and 458.91 is: 687.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.99 : 1,052.60 = 458.91 : x
  2. Step 2: Convert to fraction form
    702.99/1,052.60 = 458.91/x
  3. Step 3: Cross multiply
    702.99x = 1,052.60 × 458.91
  4. Step 4: Simplify right side
    702.99x = 483,046.37
  5. Step 5: Solve for x
    x = 483,046.37/702.99
  6. Step 6: Final answer
    x = 687.13

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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.