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Finding the Fourth Proportional to 677.16, 934.74 and 456.30

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Solution

The fourth proportional to 677.16, 934.74 and 456.30 is: 629.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.16 : 934.74 = 456.30 : x
  2. Step 2: Convert to fraction form
    677.16/934.74 = 456.30/x
  3. Step 3: Cross multiply
    677.16x = 934.74 × 456.30
  4. Step 4: Simplify right side
    677.16x = 426,521.86
  5. Step 5: Solve for x
    x = 426,521.86/677.16
  6. Step 6: Final answer
    x = 629.87

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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.