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Finding the Fourth Proportional to 462.15, 689.87 and 461.07

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Solution

The fourth proportional to 462.15, 689.87 and 461.07 is: 688.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.15 : 689.87 = 461.07 : x
  2. Step 2: Convert to fraction form
    462.15/689.87 = 461.07/x
  3. Step 3: Cross multiply
    462.15x = 689.87 × 461.07
  4. Step 4: Simplify right side
    462.15x = 318,079.51
  5. Step 5: Solve for x
    x = 318,079.51/462.15
  6. Step 6: Final answer
    x = 688.26

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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.