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Finding the Fourth Proportional to 912.39, 1,358.81 and 856.50

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Solution

The fourth proportional to 912.39, 1,358.81 and 856.50 is: 1,275.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.39 : 1,358.81 = 856.50 : x
  2. Step 2: Convert to fraction form
    912.39/1,358.81 = 856.50/x
  3. Step 3: Cross multiply
    912.39x = 1,358.81 × 856.50
  4. Step 4: Simplify right side
    912.39x = 1,163,816.48
  5. Step 5: Solve for x
    x = 1,163,816.48/912.39
  6. Step 6: Final answer
    x = 1,275.57

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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.