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Finding the Fourth Proportional to 630.90, 947.26 and 457.76

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Solution

The fourth proportional to 630.90, 947.26 and 457.76 is: 687.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.90 : 947.26 = 457.76 : x
  2. Step 2: Convert to fraction form
    630.90/947.26 = 457.76/x
  3. Step 3: Cross multiply
    630.90x = 947.26 × 457.76
  4. Step 4: Simplify right side
    630.90x = 433,618.96
  5. Step 5: Solve for x
    x = 433,618.96/630.90
  6. Step 6: Final answer
    x = 687.30

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1.5x scale

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.