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Finding the Fourth Proportional to 614.80, 848.10 and 498.16

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Solution

The fourth proportional to 614.80, 848.10 and 498.16 is: 687.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.80 : 848.10 = 498.16 : x
  2. Step 2: Convert to fraction form
    614.80/848.10 = 498.16/x
  3. Step 3: Cross multiply
    614.80x = 848.10 × 498.16
  4. Step 4: Simplify right side
    614.80x = 422,489.50
  5. Step 5: Solve for x
    x = 422,489.50/614.80
  6. Step 6: Final answer
    x = 687.20

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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.