Home / 1,035.64-1,561.23-966.91

Finding the Fourth Proportional to 1,035.64, 1,561.23 and 966.91

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Solution

The fourth proportional to 1,035.64, 1,561.23 and 966.91 is: 1,457.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.64 : 1,561.23 = 966.91 : x
  2. Step 2: Convert to fraction form
    1,035.64/1,561.23 = 966.91/x
  3. Step 3: Cross multiply
    1,035.64x = 1,561.23 × 966.91
  4. Step 4: Simplify right side
    1,035.64x = 1,509,568.90
  5. Step 5: Solve for x
    x = 1,509,568.90/1,035.64
  6. Step 6: Final answer
    x = 1,457.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.