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Finding the Fourth Proportional to 647.10, 969.30 and 358.20

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Solution

The fourth proportional to 647.10, 969.30 and 358.20 is: 536.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.10 : 969.30 = 358.20 : x
  2. Step 2: Convert to fraction form
    647.10/969.30 = 358.20/x
  3. Step 3: Cross multiply
    647.10x = 969.30 × 358.20
  4. Step 4: Simplify right side
    647.10x = 347,203.26
  5. Step 5: Solve for x
    x = 347,203.26/647.10
  6. Step 6: Final answer
    x = 536.55

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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.