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Finding the Fourth Proportional to 671.87, 924.91 and 578.07

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Solution

The fourth proportional to 671.87, 924.91 and 578.07 is: 795.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.87 : 924.91 = 578.07 : x
  2. Step 2: Convert to fraction form
    671.87/924.91 = 578.07/x
  3. Step 3: Cross multiply
    671.87x = 924.91 × 578.07
  4. Step 4: Simplify right side
    671.87x = 534,659.83
  5. Step 5: Solve for x
    x = 534,659.83/671.87
  6. Step 6: Final answer
    x = 795.78

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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.