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Finding the Fourth Proportional to 617.10, 926.49 and 609.78

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Solution

The fourth proportional to 617.10, 926.49 and 609.78 is: 915.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.10 : 926.49 = 609.78 : x
  2. Step 2: Convert to fraction form
    617.10/926.49 = 609.78/x
  3. Step 3: Cross multiply
    617.10x = 926.49 × 609.78
  4. Step 4: Simplify right side
    617.10x = 564,955.07
  5. Step 5: Solve for x
    x = 564,955.07/617.10
  6. Step 6: Final answer
    x = 915.50

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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.