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Finding the Fourth Proportional to 1,280.07, 1,918.22 and 915.57

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Solution

The fourth proportional to 1,280.07, 1,918.22 and 915.57 is: 1,372.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.07 : 1,918.22 = 915.57 : x
  2. Step 2: Convert to fraction form
    1,280.07/1,918.22 = 915.57/x
  3. Step 3: Cross multiply
    1,280.07x = 1,918.22 × 915.57
  4. Step 4: Simplify right side
    1,280.07x = 1,756,260.11
  5. Step 5: Solve for x
    x = 1,756,260.11/1,280.07
  6. Step 6: Final answer
    x = 1,372.00

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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.