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Finding the Fourth Proportional to 1,053.80, 1,580.70 and 567.08

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Solution

The fourth proportional to 1,053.80, 1,580.70 and 567.08 is: 850.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.80 : 1,580.70 = 567.08 : x
  2. Step 2: Convert to fraction form
    1,053.80/1,580.70 = 567.08/x
  3. Step 3: Cross multiply
    1,053.80x = 1,580.70 × 567.08
  4. Step 4: Simplify right side
    1,053.80x = 896,383.36
  5. Step 5: Solve for x
    x = 896,383.36/1,053.80
  6. Step 6: Final answer
    x = 850.62

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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.