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Finding the Fourth Proportional to 614.12, 848.40 and 497.48

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Solution

The fourth proportional to 614.12, 848.40 and 497.48 is: 687.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.12 : 848.40 = 497.48 : x
  2. Step 2: Convert to fraction form
    614.12/848.40 = 497.48/x
  3. Step 3: Cross multiply
    614.12x = 848.40 × 497.48
  4. Step 4: Simplify right side
    614.12x = 422,062.03
  5. Step 5: Solve for x
    x = 422,062.03/614.12
  6. Step 6: Final answer
    x = 687.26

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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.