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Finding the Fourth Proportional to 530.12, 790.71 and 513.92

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Solution

The fourth proportional to 530.12, 790.71 and 513.92 is: 766.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.12 : 790.71 = 513.92 : x
  2. Step 2: Convert to fraction form
    530.12/790.71 = 513.92/x
  3. Step 3: Cross multiply
    530.12x = 790.71 × 513.92
  4. Step 4: Simplify right side
    530.12x = 406,359.11
  5. Step 5: Solve for x
    x = 406,359.11/530.12
  6. Step 6: Final answer
    x = 766.54

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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.