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Finding the Fourth Proportional to 928.88, 1,281.85 and 509.25

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Solution

The fourth proportional to 928.88, 1,281.85 and 509.25 is: 702.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.88 : 1,281.85 = 509.25 : x
  2. Step 2: Convert to fraction form
    928.88/1,281.85 = 509.25/x
  3. Step 3: Cross multiply
    928.88x = 1,281.85 × 509.25
  4. Step 4: Simplify right side
    928.88x = 652,782.11
  5. Step 5: Solve for x
    x = 652,782.11/928.88
  6. Step 6: Final answer
    x = 702.76

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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.