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Finding the Fourth Proportional to 1,134.93, 1,566.75 and 715.49

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Solution

The fourth proportional to 1,134.93, 1,566.75 and 715.49 is: 987.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.93 : 1,566.75 = 715.49 : x
  2. Step 2: Convert to fraction form
    1,134.93/1,566.75 = 715.49/x
  3. Step 3: Cross multiply
    1,134.93x = 1,566.75 × 715.49
  4. Step 4: Simplify right side
    1,134.93x = 1,120,986.12
  5. Step 5: Solve for x
    x = 1,120,986.12/1,134.93
  6. Step 6: Final answer
    x = 987.71

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1.5x scale

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.