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Finding the Fourth Proportional to 761.16, 1,140.18 and 513.60

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Solution

The fourth proportional to 761.16, 1,140.18 and 513.60 is: 769.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.16 : 1,140.18 = 513.60 : x
  2. Step 2: Convert to fraction form
    761.16/1,140.18 = 513.60/x
  3. Step 3: Cross multiply
    761.16x = 1,140.18 × 513.60
  4. Step 4: Simplify right side
    761.16x = 585,596.45
  5. Step 5: Solve for x
    x = 585,596.45/761.16
  6. Step 6: Final answer
    x = 769.35

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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.