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Finding the Fourth Proportional to 1,430.52, 2,147 and 565.44

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Solution

The fourth proportional to 1,430.52, 2,147 and 565.44 is: 848.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.52 : 2,147 = 565.44 : x
  2. Step 2: Convert to fraction form
    1,430.52/2,147 = 565.44/x
  3. Step 3: Cross multiply
    1,430.52x = 2,147 × 565.44
  4. Step 4: Simplify right side
    1,430.52x = 1,213,999.68
  5. Step 5: Solve for x
    x = 1,213,999.68/1,430.52
  6. Step 6: Final answer
    x = 848.64

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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.