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Finding the Fourth Proportional to 687.23, 948.16 and 407.56

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Solution

The fourth proportional to 687.23, 948.16 and 407.56 is: 562.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.23 : 948.16 = 407.56 : x
  2. Step 2: Convert to fraction form
    687.23/948.16 = 407.56/x
  3. Step 3: Cross multiply
    687.23x = 948.16 × 407.56
  4. Step 4: Simplify right side
    687.23x = 386,427.05
  5. Step 5: Solve for x
    x = 386,427.05/687.23
  6. Step 6: Final answer
    x = 562.29

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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.