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Finding the Fourth Proportional to 752.65, 1,036.45 and 642.08

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Solution

The fourth proportional to 752.65, 1,036.45 and 642.08 is: 884.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.65 : 1,036.45 = 642.08 : x
  2. Step 2: Convert to fraction form
    752.65/1,036.45 = 642.08/x
  3. Step 3: Cross multiply
    752.65x = 1,036.45 × 642.08
  4. Step 4: Simplify right side
    752.65x = 665,483.82
  5. Step 5: Solve for x
    x = 665,483.82/752.65
  6. Step 6: Final answer
    x = 884.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.