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Finding the Fourth Proportional to 581.24, 800.46 and 529.32

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Solution

The fourth proportional to 581.24, 800.46 and 529.32 is: 728.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.24 : 800.46 = 529.32 : x
  2. Step 2: Convert to fraction form
    581.24/800.46 = 529.32/x
  3. Step 3: Cross multiply
    581.24x = 800.46 × 529.32
  4. Step 4: Simplify right side
    581.24x = 423,699.49
  5. Step 5: Solve for x
    x = 423,699.49/581.24
  6. Step 6: Final answer
    x = 728.96

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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.