Home / 1,149.15-1,586.07-707.50

Finding the Fourth Proportional to 1,149.15, 1,586.07 and 707.50

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Solution

The fourth proportional to 1,149.15, 1,586.07 and 707.50 is: 976.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.15 : 1,586.07 = 707.50 : x
  2. Step 2: Convert to fraction form
    1,149.15/1,586.07 = 707.50/x
  3. Step 3: Cross multiply
    1,149.15x = 1,586.07 × 707.50
  4. Step 4: Simplify right side
    1,149.15x = 1,122,146.51
  5. Step 5: Solve for x
    x = 1,122,146.51/1,149.15
  6. Step 6: Final answer
    x = 976.50

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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.