Home / 1,126.18-1,688.40-714.46

Finding the Fourth Proportional to 1,126.18, 1,688.40 and 714.46

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Solution

The fourth proportional to 1,126.18, 1,688.40 and 714.46 is: 1,071.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.18 : 1,688.40 = 714.46 : x
  2. Step 2: Convert to fraction form
    1,126.18/1,688.40 = 714.46/x
  3. Step 3: Cross multiply
    1,126.18x = 1,688.40 × 714.46
  4. Step 4: Simplify right side
    1,126.18x = 1,206,294.26
  5. Step 5: Solve for x
    x = 1,206,294.26/1,126.18
  6. Step 6: Final answer
    x = 1,071.14

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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.