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Finding the Fourth Proportional to 1,135.64, 1,567.22 and 663.88

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Solution

The fourth proportional to 1,135.64, 1,567.22 and 663.88 is: 916.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.64 : 1,567.22 = 663.88 : x
  2. Step 2: Convert to fraction form
    1,135.64/1,567.22 = 663.88/x
  3. Step 3: Cross multiply
    1,135.64x = 1,567.22 × 663.88
  4. Step 4: Simplify right side
    1,135.64x = 1,040,441.71
  5. Step 5: Solve for x
    x = 1,040,441.71/1,135.64
  6. Step 6: Final answer
    x = 916.17

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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.