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Finding the Fourth Proportional to 1,223.74, 1,686.84 and 830.08

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Solution

The fourth proportional to 1,223.74, 1,686.84 and 830.08 is: 1,144.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.74 : 1,686.84 = 830.08 : x
  2. Step 2: Convert to fraction form
    1,223.74/1,686.84 = 830.08/x
  3. Step 3: Cross multiply
    1,223.74x = 1,686.84 × 830.08
  4. Step 4: Simplify right side
    1,223.74x = 1,400,203.71
  5. Step 5: Solve for x
    x = 1,400,203.71/1,223.74
  6. Step 6: Final answer
    x = 1,144.21

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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.