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Finding the Fourth Proportional to 1,560.43, 2,153.66 and 930.99

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Solution

The fourth proportional to 1,560.43, 2,153.66 and 930.99 is: 1,284.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.43 : 2,153.66 = 930.99 : x
  2. Step 2: Convert to fraction form
    1,560.43/2,153.66 = 930.99/x
  3. Step 3: Cross multiply
    1,560.43x = 2,153.66 × 930.99
  4. Step 4: Simplify right side
    1,560.43x = 2,005,020.50
  5. Step 5: Solve for x
    x = 2,005,020.50/1,560.43
  6. Step 6: Final answer
    x = 1,284.92

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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.