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Finding the Fourth Proportional to 651.78, 897.21 and 568.76

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Solution

The fourth proportional to 651.78, 897.21 and 568.76 is: 782.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.78 : 897.21 = 568.76 : x
  2. Step 2: Convert to fraction form
    651.78/897.21 = 568.76/x
  3. Step 3: Cross multiply
    651.78x = 897.21 × 568.76
  4. Step 4: Simplify right side
    651.78x = 510,292.67
  5. Step 5: Solve for x
    x = 510,292.67/651.78
  6. Step 6: Final answer
    x = 782.92

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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.