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Finding the Fourth Proportional to 761.16, 1,141.88 and 414.28

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Solution

The fourth proportional to 761.16, 1,141.88 and 414.28 is: 621.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.16 : 1,141.88 = 414.28 : x
  2. Step 2: Convert to fraction form
    761.16/1,141.88 = 414.28/x
  3. Step 3: Cross multiply
    761.16x = 1,141.88 × 414.28
  4. Step 4: Simplify right side
    761.16x = 473,058.05
  5. Step 5: Solve for x
    x = 473,058.05/761.16
  6. Step 6: Final answer
    x = 621.50

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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.