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Finding the Fourth Proportional to 1,363.34, 1,880.35 and 915.07

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Solution

The fourth proportional to 1,363.34, 1,880.35 and 915.07 is: 1,262.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.34 : 1,880.35 = 915.07 : x
  2. Step 2: Convert to fraction form
    1,363.34/1,880.35 = 915.07/x
  3. Step 3: Cross multiply
    1,363.34x = 1,880.35 × 915.07
  4. Step 4: Simplify right side
    1,363.34x = 1,720,639.87
  5. Step 5: Solve for x
    x = 1,720,639.87/1,363.34
  6. Step 6: Final answer
    x = 1,262.07

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1.5x scale

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.