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Finding the Fourth Proportional to 828.16, 1,142.50 and 529.32

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Solution

The fourth proportional to 828.16, 1,142.50 and 529.32 is: 730.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.16 : 1,142.50 = 529.32 : x
  2. Step 2: Convert to fraction form
    828.16/1,142.50 = 529.32/x
  3. Step 3: Cross multiply
    828.16x = 1,142.50 × 529.32
  4. Step 4: Simplify right side
    828.16x = 604,748.10
  5. Step 5: Solve for x
    x = 604,748.10/828.16
  6. Step 6: Final answer
    x = 730.23

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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.