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Finding the Fourth Proportional to 702.90, 1,053.44 and 313.02

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Solution

The fourth proportional to 702.90, 1,053.44 and 313.02 is: 469.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.90 : 1,053.44 = 313.02 : x
  2. Step 2: Convert to fraction form
    702.90/1,053.44 = 313.02/x
  3. Step 3: Cross multiply
    702.90x = 1,053.44 × 313.02
  4. Step 4: Simplify right side
    702.90x = 329,747.79
  5. Step 5: Solve for x
    x = 329,747.79/702.90
  6. Step 6: Final answer
    x = 469.12

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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.