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Finding the Fourth Proportional to 720.38, 994.19 and 458.34

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Solution

The fourth proportional to 720.38, 994.19 and 458.34 is: 632.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.38 : 994.19 = 458.34 : x
  2. Step 2: Convert to fraction form
    720.38/994.19 = 458.34/x
  3. Step 3: Cross multiply
    720.38x = 994.19 × 458.34
  4. Step 4: Simplify right side
    720.38x = 455,674.75
  5. Step 5: Solve for x
    x = 455,674.75/720.38
  6. Step 6: Final answer
    x = 632.55

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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.