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Finding the Fourth Proportional to 470, 703.74 and 332.30

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Solution

The fourth proportional to 470, 703.74 and 332.30 is: 497.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    470 : 703.74 = 332.30 : x
  2. Step 2: Convert to fraction form
    470/703.74 = 332.30/x
  3. Step 3: Cross multiply
    470x = 703.74 × 332.30
  4. Step 4: Simplify right side
    470x = 233,852.80
  5. Step 5: Solve for x
    x = 233,852.80/470
  6. Step 6: Final answer
    x = 497.56

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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.