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Finding the Fourth Proportional to 1,135.13, 1,567.21 and 925.81

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Solution

The fourth proportional to 1,135.13, 1,567.21 and 925.81 is: 1,278.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.13 : 1,567.21 = 925.81 : x
  2. Step 2: Convert to fraction form
    1,135.13/1,567.21 = 925.81/x
  3. Step 3: Cross multiply
    1,135.13x = 1,567.21 × 925.81
  4. Step 4: Simplify right side
    1,135.13x = 1,450,926.23
  5. Step 5: Solve for x
    x = 1,450,926.23/1,135.13
  6. Step 6: Final answer
    x = 1,278.21

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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.