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Finding the Fourth Proportional to 1,565.12, 2,159.76 and 944

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Solution

The fourth proportional to 1,565.12, 2,159.76 and 944 is: 1,302.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.12 : 2,159.76 = 944 : x
  2. Step 2: Convert to fraction form
    1,565.12/2,159.76 = 944/x
  3. Step 3: Cross multiply
    1,565.12x = 2,159.76 × 944
  4. Step 4: Simplify right side
    1,565.12x = 2,038,813.44
  5. Step 5: Solve for x
    x = 2,038,813.44/1,565.12
  6. Step 6: Final answer
    x = 1,302.66

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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.