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Finding the Fourth Proportional to 793.42, 1,184.55 and 715.66

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Solution

The fourth proportional to 793.42, 1,184.55 and 715.66 is: 1,068.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.42 : 1,184.55 = 715.66 : x
  2. Step 2: Convert to fraction form
    793.42/1,184.55 = 715.66/x
  3. Step 3: Cross multiply
    793.42x = 1,184.55 × 715.66
  4. Step 4: Simplify right side
    793.42x = 847,735.05
  5. Step 5: Solve for x
    x = 847,735.05/793.42
  6. Step 6: Final answer
    x = 1,068.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.