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Finding the Fourth Proportional to 928.84, 1,281.75 and 509.11

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Solution

The fourth proportional to 928.84, 1,281.75 and 509.11 is: 702.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.84 : 1,281.75 = 509.11 : x
  2. Step 2: Convert to fraction form
    928.84/1,281.75 = 509.11/x
  3. Step 3: Cross multiply
    928.84x = 1,281.75 × 509.11
  4. Step 4: Simplify right side
    928.84x = 652,551.74
  5. Step 5: Solve for x
    x = 652,551.74/928.84
  6. Step 6: Final answer
    x = 702.54

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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.