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Finding the Fourth Proportional to 648.40, 896.52 and 566.42

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Solution

The fourth proportional to 648.40, 896.52 and 566.42 is: 783.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.40 : 896.52 = 566.42 : x
  2. Step 2: Convert to fraction form
    648.40/896.52 = 566.42/x
  3. Step 3: Cross multiply
    648.40x = 896.52 × 566.42
  4. Step 4: Simplify right side
    648.40x = 507,806.86
  5. Step 5: Solve for x
    x = 507,806.86/648.40
  6. Step 6: Final answer
    x = 783.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.