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Finding the Fourth Proportional to 970.52, 1,454.85 and 353.75

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Solution

The fourth proportional to 970.52, 1,454.85 and 353.75 is: 530.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.52 : 1,454.85 = 353.75 : x
  2. Step 2: Convert to fraction form
    970.52/1,454.85 = 353.75/x
  3. Step 3: Cross multiply
    970.52x = 1,454.85 × 353.75
  4. Step 4: Simplify right side
    970.52x = 514,645.91
  5. Step 5: Solve for x
    x = 514,645.91/970.52
  6. Step 6: Final answer
    x = 530.28

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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.