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Finding the Fourth Proportional to 858.22, 1,184.10 and 526.78

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Solution

The fourth proportional to 858.22, 1,184.10 and 526.78 is: 726.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.22 : 1,184.10 = 526.78 : x
  2. Step 2: Convert to fraction form
    858.22/1,184.10 = 526.78/x
  3. Step 3: Cross multiply
    858.22x = 1,184.10 × 526.78
  4. Step 4: Simplify right side
    858.22x = 623,760.20
  5. Step 5: Solve for x
    x = 623,760.20/858.22
  6. Step 6: Final answer
    x = 726.81

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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.