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Finding the Fourth Proportional to 1,048.40, 1,572.51 and 471.26

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Solution

The fourth proportional to 1,048.40, 1,572.51 and 471.26 is: 706.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.40 : 1,572.51 = 471.26 : x
  2. Step 2: Convert to fraction form
    1,048.40/1,572.51 = 471.26/x
  3. Step 3: Cross multiply
    1,048.40x = 1,572.51 × 471.26
  4. Step 4: Simplify right side
    1,048.40x = 741,061.06
  5. Step 5: Solve for x
    x = 741,061.06/1,048.40
  6. Step 6: Final answer
    x = 706.85

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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.