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Finding the Fourth Proportional to 470.58, 704.86 and 359.66

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Solution

The fourth proportional to 470.58, 704.86 and 359.66 is: 538.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.58 : 704.86 = 359.66 : x
  2. Step 2: Convert to fraction form
    470.58/704.86 = 359.66/x
  3. Step 3: Cross multiply
    470.58x = 704.86 × 359.66
  4. Step 4: Simplify right side
    470.58x = 253,509.95
  5. Step 5: Solve for x
    x = 253,509.95/470.58
  6. Step 6: Final answer
    x = 538.72

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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.