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Finding the Fourth Proportional to 790.32, 1,192.44 and 783.84

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Solution

The fourth proportional to 790.32, 1,192.44 and 783.84 is: 1,182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.32 : 1,192.44 = 783.84 : x
  2. Step 2: Convert to fraction form
    790.32/1,192.44 = 783.84/x
  3. Step 3: Cross multiply
    790.32x = 1,192.44 × 783.84
  4. Step 4: Simplify right side
    790.32x = 934,682.17
  5. Step 5: Solve for x
    x = 934,682.17/790.32
  6. Step 6: Final answer
    x = 1,182.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.