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Finding the Fourth Proportional to 470.53, 704.50 and 354.63

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Solution

The fourth proportional to 470.53, 704.50 and 354.63 is: 530.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.53 : 704.50 = 354.63 : x
  2. Step 2: Convert to fraction form
    470.53/704.50 = 354.63/x
  3. Step 3: Cross multiply
    470.53x = 704.50 × 354.63
  4. Step 4: Simplify right side
    470.53x = 249,832.39
  5. Step 5: Solve for x
    x = 249,832.39/470.53
  6. Step 6: Final answer
    x = 530.96

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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.