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Finding the Fourth Proportional to 1,259.02, 1,888.20 and 565.30

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Solution

The fourth proportional to 1,259.02, 1,888.20 and 565.30 is: 847.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.02 : 1,888.20 = 565.30 : x
  2. Step 2: Convert to fraction form
    1,259.02/1,888.20 = 565.30/x
  3. Step 3: Cross multiply
    1,259.02x = 1,888.20 × 565.30
  4. Step 4: Simplify right side
    1,259.02x = 1,067,399.46
  5. Step 5: Solve for x
    x = 1,067,399.46/1,259.02
  6. Step 6: Final answer
    x = 847.80

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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.