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Finding the Fourth Proportional to 462.15, 689.61 and 459.45

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Solution

The fourth proportional to 462.15, 689.61 and 459.45 is: 685.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.15 : 689.61 = 459.45 : x
  2. Step 2: Convert to fraction form
    462.15/689.61 = 459.45/x
  3. Step 3: Cross multiply
    462.15x = 689.61 × 459.45
  4. Step 4: Simplify right side
    462.15x = 316,839.02
  5. Step 5: Solve for x
    x = 316,839.02/462.15
  6. Step 6: Final answer
    x = 685.58

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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.