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Finding the Fourth Proportional to 1,353.50, 1,867.26 and 910.63

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Solution

The fourth proportional to 1,353.50, 1,867.26 and 910.63 is: 1,256.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.50 : 1,867.26 = 910.63 : x
  2. Step 2: Convert to fraction form
    1,353.50/1,867.26 = 910.63/x
  3. Step 3: Cross multiply
    1,353.50x = 1,867.26 × 910.63
  4. Step 4: Simplify right side
    1,353.50x = 1,700,376.03
  5. Step 5: Solve for x
    x = 1,700,376.03/1,353.50
  6. Step 6: Final answer
    x = 1,256.29

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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.