Home / 1,182.33-1,631.93-710.25

Finding the Fourth Proportional to 1,182.33, 1,631.93 and 710.25

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Solution

The fourth proportional to 1,182.33, 1,631.93 and 710.25 is: 980.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.33 : 1,631.93 = 710.25 : x
  2. Step 2: Convert to fraction form
    1,182.33/1,631.93 = 710.25/x
  3. Step 3: Cross multiply
    1,182.33x = 1,631.93 × 710.25
  4. Step 4: Simplify right side
    1,182.33x = 1,159,068.61
  5. Step 5: Solve for x
    x = 1,159,068.61/1,182.33
  6. Step 6: Final answer
    x = 980.33

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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.