Home / 1,125.06-1,552.14-705.23

Finding the Fourth Proportional to 1,125.06, 1,552.14 and 705.23

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Solution

The fourth proportional to 1,125.06, 1,552.14 and 705.23 is: 972.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.06 : 1,552.14 = 705.23 : x
  2. Step 2: Convert to fraction form
    1,125.06/1,552.14 = 705.23/x
  3. Step 3: Cross multiply
    1,125.06x = 1,552.14 × 705.23
  4. Step 4: Simplify right side
    1,125.06x = 1,094,615.69
  5. Step 5: Solve for x
    x = 1,094,615.69/1,125.06
  6. Step 6: Final answer
    x = 972.94

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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.