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Finding the Fourth Proportional to 758.01, 1,140.81 and 682.53

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Solution

The fourth proportional to 758.01, 1,140.81 and 682.53 is: 1,027.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.01 : 1,140.81 = 682.53 : x
  2. Step 2: Convert to fraction form
    758.01/1,140.81 = 682.53/x
  3. Step 3: Cross multiply
    758.01x = 1,140.81 × 682.53
  4. Step 4: Simplify right side
    758.01x = 778,632.13
  5. Step 5: Solve for x
    x = 778,632.13/758.01
  6. Step 6: Final answer
    x = 1,027.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.