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Finding the Fourth Proportional to 470.02, 704.10 and 354.58

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Solution

The fourth proportional to 470.02, 704.10 and 354.58 is: 531.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.02 : 704.10 = 354.58 : x
  2. Step 2: Convert to fraction form
    470.02/704.10 = 354.58/x
  3. Step 3: Cross multiply
    470.02x = 704.10 × 354.58
  4. Step 4: Simplify right side
    470.02x = 249,659.78
  5. Step 5: Solve for x
    x = 249,659.78/470.02
  6. Step 6: Final answer
    x = 531.17

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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.