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Finding the Fourth Proportional to 469.67, 703.20 and 354.17

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Solution

The fourth proportional to 469.67, 703.20 and 354.17 is: 530.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.67 : 703.20 = 354.17 : x
  2. Step 2: Convert to fraction form
    469.67/703.20 = 354.17/x
  3. Step 3: Cross multiply
    469.67x = 703.20 × 354.17
  4. Step 4: Simplify right side
    469.67x = 249,052.34
  5. Step 5: Solve for x
    x = 249,052.34/469.67
  6. Step 6: Final answer
    x = 530.27

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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.