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Finding the Fourth Proportional to 575.42, 858.71 and 513.91

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Solution

The fourth proportional to 575.42, 858.71 and 513.91 is: 766.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.42 : 858.71 = 513.91 : x
  2. Step 2: Convert to fraction form
    575.42/858.71 = 513.91/x
  3. Step 3: Cross multiply
    575.42x = 858.71 × 513.91
  4. Step 4: Simplify right side
    575.42x = 441,298.79
  5. Step 5: Solve for x
    x = 441,298.79/575.42
  6. Step 6: Final answer
    x = 766.92

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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.