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Finding the Fourth Proportional to 970.20, 1,337.70 and 638.52

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Solution

The fourth proportional to 970.20, 1,337.70 and 638.52 is: 880.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.20 : 1,337.70 = 638.52 : x
  2. Step 2: Convert to fraction form
    970.20/1,337.70 = 638.52/x
  3. Step 3: Cross multiply
    970.20x = 1,337.70 × 638.52
  4. Step 4: Simplify right side
    970.20x = 854,148.20
  5. Step 5: Solve for x
    x = 854,148.20/970.20
  6. Step 6: Final answer
    x = 880.38

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.