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Finding the Fourth Proportional to 1,048.55, 1,448.28 and 718.47

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Solution

The fourth proportional to 1,048.55, 1,448.28 and 718.47 is: 992.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.55 : 1,448.28 = 718.47 : x
  2. Step 2: Convert to fraction form
    1,048.55/1,448.28 = 718.47/x
  3. Step 3: Cross multiply
    1,048.55x = 1,448.28 × 718.47
  4. Step 4: Simplify right side
    1,048.55x = 1,040,545.73
  5. Step 5: Solve for x
    x = 1,040,545.73/1,048.55
  6. Step 6: Final answer
    x = 992.37

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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.