Home / 1,148.24-1,719.28-945.26

Finding the Fourth Proportional to 1,148.24, 1,719.28 and 945.26

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Solution

The fourth proportional to 1,148.24, 1,719.28 and 945.26 is: 1,415.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.24 : 1,719.28 = 945.26 : x
  2. Step 2: Convert to fraction form
    1,148.24/1,719.28 = 945.26/x
  3. Step 3: Cross multiply
    1,148.24x = 1,719.28 × 945.26
  4. Step 4: Simplify right side
    1,148.24x = 1,625,166.61
  5. Step 5: Solve for x
    x = 1,625,166.61/1,148.24
  6. Step 6: Final answer
    x = 1,415.35

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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.