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Finding the Fourth Proportional to 858.32, 1,288.50 and 723.08

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Solution

The fourth proportional to 858.32, 1,288.50 and 723.08 is: 1,085.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.32 : 1,288.50 = 723.08 : x
  2. Step 2: Convert to fraction form
    858.32/1,288.50 = 723.08/x
  3. Step 3: Cross multiply
    858.32x = 1,288.50 × 723.08
  4. Step 4: Simplify right side
    858.32x = 931,688.58
  5. Step 5: Solve for x
    x = 931,688.58/858.32
  6. Step 6: Final answer
    x = 1,085.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.