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Finding the Fourth Proportional to 650.40, 894.47 and 567.56

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Solution

The fourth proportional to 650.40, 894.47 and 567.56 is: 780.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.40 : 894.47 = 567.56 : x
  2. Step 2: Convert to fraction form
    650.40/894.47 = 567.56/x
  3. Step 3: Cross multiply
    650.40x = 894.47 × 567.56
  4. Step 4: Simplify right side
    650.40x = 507,658.08
  5. Step 5: Solve for x
    x = 507,658.08/650.40
  6. Step 6: Final answer
    x = 780.53

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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.