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Finding the Fourth Proportional to 614.42, 848.21 and 474.22

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Solution

The fourth proportional to 614.42, 848.21 and 474.22 is: 654.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.42 : 848.21 = 474.22 : x
  2. Step 2: Convert to fraction form
    614.42/848.21 = 474.22/x
  3. Step 3: Cross multiply
    614.42x = 848.21 × 474.22
  4. Step 4: Simplify right side
    614.42x = 402,238.15
  5. Step 5: Solve for x
    x = 402,238.15/614.42
  6. Step 6: Final answer
    x = 654.66

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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.