Home / 1,035.50-1,561.02-966.76

Finding the Fourth Proportional to 1,035.50, 1,561.02 and 966.76

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Solution

The fourth proportional to 1,035.50, 1,561.02 and 966.76 is: 1,457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.50 : 1,561.02 = 966.76 : x
  2. Step 2: Convert to fraction form
    1,035.50/1,561.02 = 966.76/x
  3. Step 3: Cross multiply
    1,035.50x = 1,561.02 × 966.76
  4. Step 4: Simplify right side
    1,035.50x = 1,509,131.70
  5. Step 5: Solve for x
    x = 1,509,131.70/1,035.50
  6. Step 6: Final answer
    x = 1,457.39

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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.