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Finding the Fourth Proportional to 1,215.83, 1,678.05 and 718.90

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Solution

The fourth proportional to 1,215.83, 1,678.05 and 718.90 is: 992.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.83 : 1,678.05 = 718.90 : x
  2. Step 2: Convert to fraction form
    1,215.83/1,678.05 = 718.90/x
  3. Step 3: Cross multiply
    1,215.83x = 1,678.05 × 718.90
  4. Step 4: Simplify right side
    1,215.83x = 1,206,345.95
  5. Step 5: Solve for x
    x = 1,206,345.95/1,215.83
  6. Step 6: Final answer
    x = 992.20

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1.5x scale

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.