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Finding the Fourth Proportional to 915.53, 1,371.68 and 770.23

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Solution

The fourth proportional to 915.53, 1,371.68 and 770.23 is: 1,153.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.53 : 1,371.68 = 770.23 : x
  2. Step 2: Convert to fraction form
    915.53/1,371.68 = 770.23/x
  3. Step 3: Cross multiply
    915.53x = 1,371.68 × 770.23
  4. Step 4: Simplify right side
    915.53x = 1,056,509.84
  5. Step 5: Solve for x
    x = 1,056,509.84/915.53
  6. Step 6: Final answer
    x = 1,153.99

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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.