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Finding the Fourth Proportional to 928.76, 1,281.70 and 509.11

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Solution

The fourth proportional to 928.76, 1,281.70 and 509.11 is: 702.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.76 : 1,281.70 = 509.11 : x
  2. Step 2: Convert to fraction form
    928.76/1,281.70 = 509.11/x
  3. Step 3: Cross multiply
    928.76x = 1,281.70 × 509.11
  4. Step 4: Simplify right side
    928.76x = 652,523.72
  5. Step 5: Solve for x
    x = 652,523.72/928.76
  6. Step 6: Final answer
    x = 702.58

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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.