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Finding the Fourth Proportional to 564.48, 848.88 and 493.20

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Solution

The fourth proportional to 564.48, 848.88 and 493.20 is: 741.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.48 : 848.88 = 493.20 : x
  2. Step 2: Convert to fraction form
    564.48/848.88 = 493.20/x
  3. Step 3: Cross multiply
    564.48x = 848.88 × 493.20
  4. Step 4: Simplify right side
    564.48x = 418,667.62
  5. Step 5: Solve for x
    x = 418,667.62/564.48
  6. Step 6: Final answer
    x = 741.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.