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Finding the Fourth Proportional to 471.12, 702.12 and 455.52

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Solution

The fourth proportional to 471.12, 702.12 and 455.52 is: 678.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.12 : 702.12 = 455.52 : x
  2. Step 2: Convert to fraction form
    471.12/702.12 = 455.52/x
  3. Step 3: Cross multiply
    471.12x = 702.12 × 455.52
  4. Step 4: Simplify right side
    471.12x = 319,829.70
  5. Step 5: Solve for x
    x = 319,829.70/471.12
  6. Step 6: Final answer
    x = 678.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.