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Finding the Fourth Proportional to 529.31, 795.18 and 313.04

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Solution

The fourth proportional to 529.31, 795.18 and 313.04 is: 470.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.31 : 795.18 = 313.04 : x
  2. Step 2: Convert to fraction form
    529.31/795.18 = 313.04/x
  3. Step 3: Cross multiply
    529.31x = 795.18 × 313.04
  4. Step 4: Simplify right side
    529.31x = 248,923.15
  5. Step 5: Solve for x
    x = 248,923.15/529.31
  6. Step 6: Final answer
    x = 470.28

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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.