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Finding the Fourth Proportional to 463.04, 690.57 and 456.86

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Solution

The fourth proportional to 463.04, 690.57 and 456.86 is: 681.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.04 : 690.57 = 456.86 : x
  2. Step 2: Convert to fraction form
    463.04/690.57 = 456.86/x
  3. Step 3: Cross multiply
    463.04x = 690.57 × 456.86
  4. Step 4: Simplify right side
    463.04x = 315,493.81
  5. Step 5: Solve for x
    x = 315,493.81/463.04
  6. Step 6: Final answer
    x = 681.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.