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Finding the Fourth Proportional to 704.68, 972.08 and 424.76

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Solution

The fourth proportional to 704.68, 972.08 and 424.76 is: 585.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.68 : 972.08 = 424.76 : x
  2. Step 2: Convert to fraction form
    704.68/972.08 = 424.76/x
  3. Step 3: Cross multiply
    704.68x = 972.08 × 424.76
  4. Step 4: Simplify right side
    704.68x = 412,900.70
  5. Step 5: Solve for x
    x = 412,900.70/704.68
  6. Step 6: Final answer
    x = 585.94

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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.