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Finding the Fourth Proportional to 687.50, 948.75 and 411.50

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Solution

The fourth proportional to 687.50, 948.75 and 411.50 is: 567.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.50 : 948.75 = 411.50 : x
  2. Step 2: Convert to fraction form
    687.50/948.75 = 411.50/x
  3. Step 3: Cross multiply
    687.50x = 948.75 × 411.50
  4. Step 4: Simplify right side
    687.50x = 390,410.63
  5. Step 5: Solve for x
    x = 390,410.63/687.50
  6. Step 6: Final answer
    x = 567.87

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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.