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Finding the Fourth Proportional to 850.87, 1,275.40 and 357.16

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Solution

The fourth proportional to 850.87, 1,275.40 and 357.16 is: 535.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.87 : 1,275.40 = 357.16 : x
  2. Step 2: Convert to fraction form
    850.87/1,275.40 = 357.16/x
  3. Step 3: Cross multiply
    850.87x = 1,275.40 × 357.16
  4. Step 4: Simplify right side
    850.87x = 455,521.86
  5. Step 5: Solve for x
    x = 455,521.86/850.87
  6. Step 6: Final answer
    x = 535.36

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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.