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Finding the Fourth Proportional to 858.08, 1,184.24 and 526.73

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Solution

The fourth proportional to 858.08, 1,184.24 and 526.73 is: 726.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.08 : 1,184.24 = 526.73 : x
  2. Step 2: Convert to fraction form
    858.08/1,184.24 = 526.73/x
  3. Step 3: Cross multiply
    858.08x = 1,184.24 × 526.73
  4. Step 4: Simplify right side
    858.08x = 623,770.13
  5. Step 5: Solve for x
    x = 623,770.13/858.08
  6. Step 6: Final answer
    x = 726.93

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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.