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Finding the Fourth Proportional to 564.92, 780.19 and 503.84

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Solution

The fourth proportional to 564.92, 780.19 and 503.84 is: 695.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.92 : 780.19 = 503.84 : x
  2. Step 2: Convert to fraction form
    564.92/780.19 = 503.84/x
  3. Step 3: Cross multiply
    564.92x = 780.19 × 503.84
  4. Step 4: Simplify right side
    564.92x = 393,090.93
  5. Step 5: Solve for x
    x = 393,090.93/564.92
  6. Step 6: Final answer
    x = 695.83

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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.