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Finding the Fourth Proportional to 614.30, 848.49 and 578.66

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Solution

The fourth proportional to 614.30, 848.49 and 578.66 is: 799.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.30 : 848.49 = 578.66 : x
  2. Step 2: Convert to fraction form
    614.30/848.49 = 578.66/x
  3. Step 3: Cross multiply
    614.30x = 848.49 × 578.66
  4. Step 4: Simplify right side
    614.30x = 490,987.22
  5. Step 5: Solve for x
    x = 490,987.22/614.30
  6. Step 6: Final answer
    x = 799.26

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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.