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Finding the Fourth Proportional to 868.24, 1,302.72 and 435.52

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Solution

The fourth proportional to 868.24, 1,302.72 and 435.52 is: 653.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.24 : 1,302.72 = 435.52 : x
  2. Step 2: Convert to fraction form
    868.24/1,302.72 = 435.52/x
  3. Step 3: Cross multiply
    868.24x = 1,302.72 × 435.52
  4. Step 4: Simplify right side
    868.24x = 567,360.61
  5. Step 5: Solve for x
    x = 567,360.61/868.24
  6. Step 6: Final answer
    x = 653.46

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1.5x scale

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.