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Finding the Fourth Proportional to 461.17, 690.40 and 457.53

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Solution

The fourth proportional to 461.17, 690.40 and 457.53 is: 684.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.17 : 690.40 = 457.53 : x
  2. Step 2: Convert to fraction form
    461.17/690.40 = 457.53/x
  3. Step 3: Cross multiply
    461.17x = 690.40 × 457.53
  4. Step 4: Simplify right side
    461.17x = 315,878.71
  5. Step 5: Solve for x
    x = 315,878.71/461.17
  6. Step 6: Final answer
    x = 684.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.