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Finding the Fourth Proportional to 647.40, 969.90 and 578.16

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Solution

The fourth proportional to 647.40, 969.90 and 578.16 is: 866.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.40 : 969.90 = 578.16 : x
  2. Step 2: Convert to fraction form
    647.40/969.90 = 578.16/x
  3. Step 3: Cross multiply
    647.40x = 969.90 × 578.16
  4. Step 4: Simplify right side
    647.40x = 560,757.38
  5. Step 5: Solve for x
    x = 560,757.38/647.40
  6. Step 6: Final answer
    x = 866.17

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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.