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Finding the Fourth Proportional to 1,309.71, 1,964.26 and 616.86

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Solution

The fourth proportional to 1,309.71, 1,964.26 and 616.86 is: 925.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.71 : 1,964.26 = 616.86 : x
  2. Step 2: Convert to fraction form
    1,309.71/1,964.26 = 616.86/x
  3. Step 3: Cross multiply
    1,309.71x = 1,964.26 × 616.86
  4. Step 4: Simplify right side
    1,309.71x = 1,211,666.83
  5. Step 5: Solve for x
    x = 1,211,666.83/1,309.71
  6. Step 6: Final answer
    x = 925.14

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1.5x scale

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.