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Finding the Fourth Proportional to 715.83, 987.84 and 405.33

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Solution

The fourth proportional to 715.83, 987.84 and 405.33 is: 559.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.83 : 987.84 = 405.33 : x
  2. Step 2: Convert to fraction form
    715.83/987.84 = 405.33/x
  3. Step 3: Cross multiply
    715.83x = 987.84 × 405.33
  4. Step 4: Simplify right side
    715.83x = 400,401.19
  5. Step 5: Solve for x
    x = 400,401.19/715.83
  6. Step 6: Final answer
    x = 559.35

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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.