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Finding the Fourth Proportional to 715.62, 1,070.80 and 423.25

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Solution

The fourth proportional to 715.62, 1,070.80 and 423.25 is: 633.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.62 : 1,070.80 = 423.25 : x
  2. Step 2: Convert to fraction form
    715.62/1,070.80 = 423.25/x
  3. Step 3: Cross multiply
    715.62x = 1,070.80 × 423.25
  4. Step 4: Simplify right side
    715.62x = 453,216.10
  5. Step 5: Solve for x
    x = 453,216.10/715.62
  6. Step 6: Final answer
    x = 633.32

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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.