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Finding the Fourth Proportional to 1,309.84, 1,964.76 and 616.08

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Solution

The fourth proportional to 1,309.84, 1,964.76 and 616.08 is: 924.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.84 : 1,964.76 = 616.08 : x
  2. Step 2: Convert to fraction form
    1,309.84/1,964.76 = 616.08/x
  3. Step 3: Cross multiply
    1,309.84x = 1,964.76 × 616.08
  4. Step 4: Simplify right side
    1,309.84x = 1,210,449.34
  5. Step 5: Solve for x
    x = 1,210,449.34/1,309.84
  6. Step 6: Final answer
    x = 924.12

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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.