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Finding the Fourth Proportional to 1,332.46, 1,998.61 and 510.67

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Solution

The fourth proportional to 1,332.46, 1,998.61 and 510.67 is: 765.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.46 : 1,998.61 = 510.67 : x
  2. Step 2: Convert to fraction form
    1,332.46/1,998.61 = 510.67/x
  3. Step 3: Cross multiply
    1,332.46x = 1,998.61 × 510.67
  4. Step 4: Simplify right side
    1,332.46x = 1,020,630.17
  5. Step 5: Solve for x
    x = 1,020,630.17/1,332.46
  6. Step 6: Final answer
    x = 765.97

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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.