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Finding the Fourth Proportional to 677.60, 935.12 and 456.80

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Solution

The fourth proportional to 677.60, 935.12 and 456.80 is: 630.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.60 : 935.12 = 456.80 : x
  2. Step 2: Convert to fraction form
    677.60/935.12 = 456.80/x
  3. Step 3: Cross multiply
    677.60x = 935.12 × 456.80
  4. Step 4: Simplify right side
    677.60x = 427,162.82
  5. Step 5: Solve for x
    x = 427,162.82/677.60
  6. Step 6: Final answer
    x = 630.41

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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.