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Finding the Fourth Proportional to 677.76, 935.66 and 457.87

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Solution

The fourth proportional to 677.76, 935.66 and 457.87 is: 632.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.76 : 935.66 = 457.87 : x
  2. Step 2: Convert to fraction form
    677.76/935.66 = 457.87/x
  3. Step 3: Cross multiply
    677.76x = 935.66 × 457.87
  4. Step 4: Simplify right side
    677.76x = 428,410.64
  5. Step 5: Solve for x
    x = 428,410.64/677.76
  6. Step 6: Final answer
    x = 632.10

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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.