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Finding the Fourth Proportional to 1,565.88, 2,159.86 and 976.20

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Solution

The fourth proportional to 1,565.88, 2,159.86 and 976.20 is: 1,346.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.88 : 2,159.86 = 976.20 : x
  2. Step 2: Convert to fraction form
    1,565.88/2,159.86 = 976.20/x
  3. Step 3: Cross multiply
    1,565.88x = 2,159.86 × 976.20
  4. Step 4: Simplify right side
    1,565.88x = 2,108,455.33
  5. Step 5: Solve for x
    x = 2,108,455.33/1,565.88
  6. Step 6: Final answer
    x = 1,346.50

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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.