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Finding the Fourth Proportional to 928.93, 1,281.87 and 509.20

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Solution

The fourth proportional to 928.93, 1,281.87 and 509.20 is: 702.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.93 : 1,281.87 = 509.20 : x
  2. Step 2: Convert to fraction form
    928.93/1,281.87 = 509.20/x
  3. Step 3: Cross multiply
    928.93x = 1,281.87 × 509.20
  4. Step 4: Simplify right side
    928.93x = 652,728.20
  5. Step 5: Solve for x
    x = 652,728.20/928.93
  6. Step 6: Final answer
    x = 702.67

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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.