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Finding the Fourth Proportional to 886.64, 1,223.28 and 537.32

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Solution

The fourth proportional to 886.64, 1,223.28 and 537.32 is: 741.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.64 : 1,223.28 = 537.32 : x
  2. Step 2: Convert to fraction form
    886.64/1,223.28 = 537.32/x
  3. Step 3: Cross multiply
    886.64x = 1,223.28 × 537.32
  4. Step 4: Simplify right side
    886.64x = 657,292.81
  5. Step 5: Solve for x
    x = 657,292.81/886.64
  6. Step 6: Final answer
    x = 741.33

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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.