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Finding the Fourth Proportional to 687.52, 948.86 and 477.64

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Solution

The fourth proportional to 687.52, 948.86 and 477.64 is: 659.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.52 : 948.86 = 477.64 : x
  2. Step 2: Convert to fraction form
    687.52/948.86 = 477.64/x
  3. Step 3: Cross multiply
    687.52x = 948.86 × 477.64
  4. Step 4: Simplify right side
    687.52x = 453,213.49
  5. Step 5: Solve for x
    x = 453,213.49/687.52
  6. Step 6: Final answer
    x = 659.20

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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.