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Finding the Fourth Proportional to 1,345.71, 2,019.34 and 565.64

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Solution

The fourth proportional to 1,345.71, 2,019.34 and 565.64 is: 848.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.71 : 2,019.34 = 565.64 : x
  2. Step 2: Convert to fraction form
    1,345.71/2,019.34 = 565.64/x
  3. Step 3: Cross multiply
    1,345.71x = 2,019.34 × 565.64
  4. Step 4: Simplify right side
    1,345.71x = 1,142,206.55
  5. Step 5: Solve for x
    x = 1,142,206.55/1,345.71
  6. Step 6: Final answer
    x = 848.78

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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.