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Finding the Fourth Proportional to 862.24, 1,189.38 and 567.40

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Solution

The fourth proportional to 862.24, 1,189.38 and 567.40 is: 782.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.24 : 1,189.38 = 567.40 : x
  2. Step 2: Convert to fraction form
    862.24/1,189.38 = 567.40/x
  3. Step 3: Cross multiply
    862.24x = 1,189.38 × 567.40
  4. Step 4: Simplify right side
    862.24x = 674,854.21
  5. Step 5: Solve for x
    x = 674,854.21/862.24
  6. Step 6: Final answer
    x = 782.68

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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.