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Finding the Fourth Proportional to 852.32, 1,175.64 and 557.84

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Solution

The fourth proportional to 852.32, 1,175.64 and 557.84 is: 769.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.32 : 1,175.64 = 557.84 : x
  2. Step 2: Convert to fraction form
    852.32/1,175.64 = 557.84/x
  3. Step 3: Cross multiply
    852.32x = 1,175.64 × 557.84
  4. Step 4: Simplify right side
    852.32x = 655,819.02
  5. Step 5: Solve for x
    x = 655,819.02/852.32
  6. Step 6: Final answer
    x = 769.45

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1.5x scale

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.