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Finding the Fourth Proportional to 1,079.68, 1,490 and 613.84

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Solution

The fourth proportional to 1,079.68, 1,490 and 613.84 is: 847.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.68 : 1,490 = 613.84 : x
  2. Step 2: Convert to fraction form
    1,079.68/1,490 = 613.84/x
  3. Step 3: Cross multiply
    1,079.68x = 1,490 × 613.84
  4. Step 4: Simplify right side
    1,079.68x = 914,621.60
  5. Step 5: Solve for x
    x = 914,621.60/1,079.68
  6. Step 6: Final answer
    x = 847.12

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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.