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Finding the Fourth Proportional to 645.18, 888.36 and 505.14

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Solution

The fourth proportional to 645.18, 888.36 and 505.14 is: 695.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.18 : 888.36 = 505.14 : x
  2. Step 2: Convert to fraction form
    645.18/888.36 = 505.14/x
  3. Step 3: Cross multiply
    645.18x = 888.36 × 505.14
  4. Step 4: Simplify right side
    645.18x = 448,746.17
  5. Step 5: Solve for x
    x = 448,746.17/645.18
  6. Step 6: Final answer
    x = 695.54

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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.