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Finding the Fourth Proportional to 753.49, 1,124.66 and 707.32

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Solution

The fourth proportional to 753.49, 1,124.66 and 707.32 is: 1,055.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.49 : 1,124.66 = 707.32 : x
  2. Step 2: Convert to fraction form
    753.49/1,124.66 = 707.32/x
  3. Step 3: Cross multiply
    753.49x = 1,124.66 × 707.32
  4. Step 4: Simplify right side
    753.49x = 795,494.51
  5. Step 5: Solve for x
    x = 795,494.51/753.49
  6. Step 6: Final answer
    x = 1,055.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.