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Finding the Fourth Proportional to 690.71, 1,040.75 and 571.64

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Solution

The fourth proportional to 690.71, 1,040.75 and 571.64 is: 861.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.71 : 1,040.75 = 571.64 : x
  2. Step 2: Convert to fraction form
    690.71/1,040.75 = 571.64/x
  3. Step 3: Cross multiply
    690.71x = 1,040.75 × 571.64
  4. Step 4: Simplify right side
    690.71x = 594,931.47
  5. Step 5: Solve for x
    x = 594,931.47/690.71
  6. Step 6: Final answer
    x = 861.33

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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.