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Finding the Fourth Proportional to 1,073.77, 1,610.35 and 553.60

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Solution

The fourth proportional to 1,073.77, 1,610.35 and 553.60 is: 830.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.77 : 1,610.35 = 553.60 : x
  2. Step 2: Convert to fraction form
    1,073.77/1,610.35 = 553.60/x
  3. Step 3: Cross multiply
    1,073.77x = 1,610.35 × 553.60
  4. Step 4: Simplify right side
    1,073.77x = 891,490.39
  5. Step 5: Solve for x
    x = 891,490.39/1,073.77
  6. Step 6: Final answer
    x = 830.25

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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.