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Finding the Fourth Proportional to 575.29, 858.48 and 513.76

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Solution

The fourth proportional to 575.29, 858.48 and 513.76 is: 766.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.29 : 858.48 = 513.76 : x
  2. Step 2: Convert to fraction form
    575.29/858.48 = 513.76/x
  3. Step 3: Cross multiply
    575.29x = 858.48 × 513.76
  4. Step 4: Simplify right side
    575.29x = 441,045.82
  5. Step 5: Solve for x
    x = 441,045.82/575.29
  6. Step 6: Final answer
    x = 766.66

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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.