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Finding the Fourth Proportional to 575.63, 864.17 and 461.50

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Solution

The fourth proportional to 575.63, 864.17 and 461.50 is: 692.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.63 : 864.17 = 461.50 : x
  2. Step 2: Convert to fraction form
    575.63/864.17 = 461.50/x
  3. Step 3: Cross multiply
    575.63x = 864.17 × 461.50
  4. Step 4: Simplify right side
    575.63x = 398,807.83
  5. Step 5: Solve for x
    x = 398,807.83/575.63
  6. Step 6: Final answer
    x = 692.82

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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.