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Finding the Fourth Proportional to 1,041.89, 1,437.80 and 569.78

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Solution

The fourth proportional to 1,041.89, 1,437.80 and 569.78 is: 786.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.89 : 1,437.80 = 569.78 : x
  2. Step 2: Convert to fraction form
    1,041.89/1,437.80 = 569.78/x
  3. Step 3: Cross multiply
    1,041.89x = 1,437.80 × 569.78
  4. Step 4: Simplify right side
    1,041.89x = 819,226.84
  5. Step 5: Solve for x
    x = 819,226.84/1,041.89
  6. Step 6: Final answer
    x = 786.29

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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.