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Finding the Fourth Proportional to 651.40, 972.30 and 560.68

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Solution

The fourth proportional to 651.40, 972.30 and 560.68 is: 836.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.40 : 972.30 = 560.68 : x
  2. Step 2: Convert to fraction form
    651.40/972.30 = 560.68/x
  3. Step 3: Cross multiply
    651.40x = 972.30 × 560.68
  4. Step 4: Simplify right side
    651.40x = 545,149.16
  5. Step 5: Solve for x
    x = 545,149.16/651.40
  6. Step 6: Final answer
    x = 836.89

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1.5x scale

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.