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Finding the Fourth Proportional to 1,124.64, 1,552.32 and 711.36

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Solution

The fourth proportional to 1,124.64, 1,552.32 and 711.36 is: 981.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.64 : 1,552.32 = 711.36 : x
  2. Step 2: Convert to fraction form
    1,124.64/1,552.32 = 711.36/x
  3. Step 3: Cross multiply
    1,124.64x = 1,552.32 × 711.36
  4. Step 4: Simplify right side
    1,124.64x = 1,104,258.36
  5. Step 5: Solve for x
    x = 1,104,258.36/1,124.64
  6. Step 6: Final answer
    x = 981.88

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1.5x scale

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.