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Finding the Fourth Proportional to 678.96, 935.87 and 457.53

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Solution

The fourth proportional to 678.96, 935.87 and 457.53 is: 630.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.96 : 935.87 = 457.53 : x
  2. Step 2: Convert to fraction form
    678.96/935.87 = 457.53/x
  3. Step 3: Cross multiply
    678.96x = 935.87 × 457.53
  4. Step 4: Simplify right side
    678.96x = 428,186.24
  5. Step 5: Solve for x
    x = 428,186.24/678.96
  6. Step 6: Final answer
    x = 630.65

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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.