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Finding the Fourth Proportional to 751.77, 1,127.51 and 714.74

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Solution

The fourth proportional to 751.77, 1,127.51 and 714.74 is: 1,071.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.77 : 1,127.51 = 714.74 : x
  2. Step 2: Convert to fraction form
    751.77/1,127.51 = 714.74/x
  3. Step 3: Cross multiply
    751.77x = 1,127.51 × 714.74
  4. Step 4: Simplify right side
    751.77x = 805,867.29
  5. Step 5: Solve for x
    x = 805,867.29/751.77
  6. Step 6: Final answer
    x = 1,071.96

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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.