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Finding the Fourth Proportional to 687.94, 948.75 and 540.32

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Solution

The fourth proportional to 687.94, 948.75 and 540.32 is: 745.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.94 : 948.75 = 540.32 : x
  2. Step 2: Convert to fraction form
    687.94/948.75 = 540.32/x
  3. Step 3: Cross multiply
    687.94x = 948.75 × 540.32
  4. Step 4: Simplify right side
    687.94x = 512,628.60
  5. Step 5: Solve for x
    x = 512,628.60/687.94
  6. Step 6: Final answer
    x = 745.16

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1.5x scale

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.