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Finding the Fourth Proportional to 563.22, 840.96 and 465.84

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Solution

The fourth proportional to 563.22, 840.96 and 465.84 is: 695.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.22 : 840.96 = 465.84 : x
  2. Step 2: Convert to fraction form
    563.22/840.96 = 465.84/x
  3. Step 3: Cross multiply
    563.22x = 840.96 × 465.84
  4. Step 4: Simplify right side
    563.22x = 391,752.81
  5. Step 5: Solve for x
    x = 391,752.81/563.22
  6. Step 6: Final answer
    x = 695.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.