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Finding the Fourth Proportional to 564.92, 780 and 509.44

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Solution

The fourth proportional to 564.92, 780 and 509.44 is: 703.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.92 : 780 = 509.44 : x
  2. Step 2: Convert to fraction form
    564.92/780 = 509.44/x
  3. Step 3: Cross multiply
    564.92x = 780 × 509.44
  4. Step 4: Simplify right side
    564.92x = 397,363.20
  5. Step 5: Solve for x
    x = 397,363.20/564.92
  6. Step 6: Final answer
    x = 703.40

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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.