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Finding the Fourth Proportional to 568.34, 848.38 and 491.78

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Solution

The fourth proportional to 568.34, 848.38 and 491.78 is: 734.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.34 : 848.38 = 491.78 : x
  2. Step 2: Convert to fraction form
    568.34/848.38 = 491.78/x
  3. Step 3: Cross multiply
    568.34x = 848.38 × 491.78
  4. Step 4: Simplify right side
    568.34x = 417,216.32
  5. Step 5: Solve for x
    x = 417,216.32/568.34
  6. Step 6: Final answer
    x = 734.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.