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Finding the Fourth Proportional to 1,050.36, 1,572.49 and 724.74

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Solution

The fourth proportional to 1,050.36, 1,572.49 and 724.74 is: 1,085.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.36 : 1,572.49 = 724.74 : x
  2. Step 2: Convert to fraction form
    1,050.36/1,572.49 = 724.74/x
  3. Step 3: Cross multiply
    1,050.36x = 1,572.49 × 724.74
  4. Step 4: Simplify right side
    1,050.36x = 1,139,646.40
  5. Step 5: Solve for x
    x = 1,139,646.40/1,050.36
  6. Step 6: Final answer
    x = 1,085.01

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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.