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Finding the Fourth Proportional to 461.70, 688.77 and 407.70

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Solution

The fourth proportional to 461.70, 688.77 and 407.70 is: 608.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.70 : 688.77 = 407.70 : x
  2. Step 2: Convert to fraction form
    461.70/688.77 = 407.70/x
  3. Step 3: Cross multiply
    461.70x = 688.77 × 407.70
  4. Step 4: Simplify right side
    461.70x = 280,811.53
  5. Step 5: Solve for x
    x = 280,811.53/461.70
  6. Step 6: Final answer
    x = 608.21

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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.