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Finding the Fourth Proportional to 765.89, 1,148.84 and 188.76

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Solution

The fourth proportional to 765.89, 1,148.84 and 188.76 is: 283.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.89 : 1,148.84 = 188.76 : x
  2. Step 2: Convert to fraction form
    765.89/1,148.84 = 188.76/x
  3. Step 3: Cross multiply
    765.89x = 1,148.84 × 188.76
  4. Step 4: Simplify right side
    765.89x = 216,855.04
  5. Step 5: Solve for x
    x = 216,855.04/765.89
  6. Step 6: Final answer
    x = 283.14

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.