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Finding the Fourth Proportional to 688.57, 948.95 and 467.53

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Solution

The fourth proportional to 688.57, 948.95 and 467.53 is: 644.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.57 : 948.95 = 467.53 : x
  2. Step 2: Convert to fraction form
    688.57/948.95 = 467.53/x
  3. Step 3: Cross multiply
    688.57x = 948.95 × 467.53
  4. Step 4: Simplify right side
    688.57x = 443,660.26
  5. Step 5: Solve for x
    x = 443,660.26/688.57
  6. Step 6: Final answer
    x = 644.32

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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.