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Finding the Fourth Proportional to 1,132.07, 1,698.38 and 575.41

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Solution

The fourth proportional to 1,132.07, 1,698.38 and 575.41 is: 863.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.07 : 1,698.38 = 575.41 : x
  2. Step 2: Convert to fraction form
    1,132.07/1,698.38 = 575.41/x
  3. Step 3: Cross multiply
    1,132.07x = 1,698.38 × 575.41
  4. Step 4: Simplify right side
    1,132.07x = 977,264.84
  5. Step 5: Solve for x
    x = 977,264.84/1,132.07
  6. Step 6: Final answer
    x = 863.25

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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.