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Finding the Fourth Proportional to 852.15, 1,285.30 and 750.70

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Solution

The fourth proportional to 852.15, 1,285.30 and 750.70 is: 1,132.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.15 : 1,285.30 = 750.70 : x
  2. Step 2: Convert to fraction form
    852.15/1,285.30 = 750.70/x
  3. Step 3: Cross multiply
    852.15x = 1,285.30 × 750.70
  4. Step 4: Simplify right side
    852.15x = 964,874.71
  5. Step 5: Solve for x
    x = 964,874.71/852.15
  6. Step 6: Final answer
    x = 1,132.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.