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Finding the Fourth Proportional to 647.75, 969.20 and 403.13

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Solution

The fourth proportional to 647.75, 969.20 and 403.13 is: 603.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.75 : 969.20 = 403.13 : x
  2. Step 2: Convert to fraction form
    647.75/969.20 = 403.13/x
  3. Step 3: Cross multiply
    647.75x = 969.20 × 403.13
  4. Step 4: Simplify right side
    647.75x = 390,711.58
  5. Step 5: Solve for x
    x = 390,711.58/647.75
  6. Step 6: Final answer
    x = 603.18

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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.