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Finding the Fourth Proportional to 1,043.70, 1,557.55 and 986.10

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Solution

The fourth proportional to 1,043.70, 1,557.55 and 986.10 is: 1,471.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.70 : 1,557.55 = 986.10 : x
  2. Step 2: Convert to fraction form
    1,043.70/1,557.55 = 986.10/x
  3. Step 3: Cross multiply
    1,043.70x = 1,557.55 × 986.10
  4. Step 4: Simplify right side
    1,043.70x = 1,535,895.12
  5. Step 5: Solve for x
    x = 1,535,895.12/1,043.70
  6. Step 6: Final answer
    x = 1,471.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.