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Finding the Fourth Proportional to 915.03, 1,261.17 and 775.53

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Solution

The fourth proportional to 915.03, 1,261.17 and 775.53 is: 1,068.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.03 : 1,261.17 = 775.53 : x
  2. Step 2: Convert to fraction form
    915.03/1,261.17 = 775.53/x
  3. Step 3: Cross multiply
    915.03x = 1,261.17 × 775.53
  4. Step 4: Simplify right side
    915.03x = 978,075.17
  5. Step 5: Solve for x
    x = 978,075.17/915.03
  6. Step 6: Final answer
    x = 1,068.90

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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.