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Finding the Fourth Proportional to 915.05, 1,371.76 and 777.11

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Solution

The fourth proportional to 915.05, 1,371.76 and 777.11 is: 1,164.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.05 : 1,371.76 = 777.11 : x
  2. Step 2: Convert to fraction form
    915.05/1,371.76 = 777.11/x
  3. Step 3: Cross multiply
    915.05x = 1,371.76 × 777.11
  4. Step 4: Simplify right side
    915.05x = 1,066,008.41
  5. Step 5: Solve for x
    x = 1,066,008.41/915.05
  6. Step 6: Final answer
    x = 1,164.97

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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.