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Finding the Fourth Proportional to 614.98, 848.69 and 353.01

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Solution

The fourth proportional to 614.98, 848.69 and 353.01 is: 487.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.98 : 848.69 = 353.01 : x
  2. Step 2: Convert to fraction form
    614.98/848.69 = 353.01/x
  3. Step 3: Cross multiply
    614.98x = 848.69 × 353.01
  4. Step 4: Simplify right side
    614.98x = 299,596.06
  5. Step 5: Solve for x
    x = 299,596.06/614.98
  6. Step 6: Final answer
    x = 487.16

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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.