Home / 1,122.12-1,681.07-710.40

Finding the Fourth Proportional to 1,122.12, 1,681.07 and 710.40

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Solution

The fourth proportional to 1,122.12, 1,681.07 and 710.40 is: 1,064.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.12 : 1,681.07 = 710.40 : x
  2. Step 2: Convert to fraction form
    1,122.12/1,681.07 = 710.40/x
  3. Step 3: Cross multiply
    1,122.12x = 1,681.07 × 710.40
  4. Step 4: Simplify right side
    1,122.12x = 1,194,228.58
  5. Step 5: Solve for x
    x = 1,194,228.58/1,122.12
  6. Step 6: Final answer
    x = 1,064.26

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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.