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Finding the Fourth Proportional to 1,088.24, 1,503.48 and 840.56

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Solution

The fourth proportional to 1,088.24, 1,503.48 and 840.56 is: 1,161.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.24 : 1,503.48 = 840.56 : x
  2. Step 2: Convert to fraction form
    1,088.24/1,503.48 = 840.56/x
  3. Step 3: Cross multiply
    1,088.24x = 1,503.48 × 840.56
  4. Step 4: Simplify right side
    1,088.24x = 1,263,765.15
  5. Step 5: Solve for x
    x = 1,263,765.15/1,088.24
  6. Step 6: Final answer
    x = 1,161.29

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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.