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Finding the Fourth Proportional to 1,053.68, 1,580.36 and 559.89

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Solution

The fourth proportional to 1,053.68, 1,580.36 and 559.89 is: 839.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.68 : 1,580.36 = 559.89 : x
  2. Step 2: Convert to fraction form
    1,053.68/1,580.36 = 559.89/x
  3. Step 3: Cross multiply
    1,053.68x = 1,580.36 × 559.89
  4. Step 4: Simplify right side
    1,053.68x = 884,824.96
  5. Step 5: Solve for x
    x = 884,824.96/1,053.68
  6. Step 6: Final answer
    x = 839.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.