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Finding the Fourth Proportional to 677.01, 934.64 and 457.13

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Solution

The fourth proportional to 677.01, 934.64 and 457.13 is: 631.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.01 : 934.64 = 457.13 : x
  2. Step 2: Convert to fraction form
    677.01/934.64 = 457.13/x
  3. Step 3: Cross multiply
    677.01x = 934.64 × 457.13
  4. Step 4: Simplify right side
    677.01x = 427,245.02
  5. Step 5: Solve for x
    x = 427,245.02/677.01
  6. Step 6: Final answer
    x = 631.08

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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.