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Finding the Fourth Proportional to 761.69, 1,140.35 and 471.17

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Solution

The fourth proportional to 761.69, 1,140.35 and 471.17 is: 705.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.69 : 1,140.35 = 471.17 : x
  2. Step 2: Convert to fraction form
    761.69/1,140.35 = 471.17/x
  3. Step 3: Cross multiply
    761.69x = 1,140.35 × 471.17
  4. Step 4: Simplify right side
    761.69x = 537,290.65
  5. Step 5: Solve for x
    x = 537,290.65/761.69
  6. Step 6: Final answer
    x = 705.40

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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.