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Finding the Fourth Proportional to 828.75, 1,142.10 and 533.55

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Solution

The fourth proportional to 828.75, 1,142.10 and 533.55 is: 735.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.75 : 1,142.10 = 533.55 : x
  2. Step 2: Convert to fraction form
    828.75/1,142.10 = 533.55/x
  3. Step 3: Cross multiply
    828.75x = 1,142.10 × 533.55
  4. Step 4: Simplify right side
    828.75x = 609,367.46
  5. Step 5: Solve for x
    x = 609,367.46/828.75
  6. Step 6: Final answer
    x = 735.29

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Half scale
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Double scale
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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.