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Finding the Fourth Proportional to 928.42, 1,281.30 and 535.57

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Solution

The fourth proportional to 928.42, 1,281.30 and 535.57 is: 739.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.42 : 1,281.30 = 535.57 : x
  2. Step 2: Convert to fraction form
    928.42/1,281.30 = 535.57/x
  3. Step 3: Cross multiply
    928.42x = 1,281.30 × 535.57
  4. Step 4: Simplify right side
    928.42x = 686,225.84
  5. Step 5: Solve for x
    x = 686,225.84/928.42
  6. Step 6: Final answer
    x = 739.13

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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.