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Finding the Fourth Proportional to 688.34, 948.24 and 577.82

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Solution

The fourth proportional to 688.34, 948.24 and 577.82 is: 795.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.34 : 948.24 = 577.82 : x
  2. Step 2: Convert to fraction form
    688.34/948.24 = 577.82/x
  3. Step 3: Cross multiply
    688.34x = 948.24 × 577.82
  4. Step 4: Simplify right side
    688.34x = 547,912.04
  5. Step 5: Solve for x
    x = 547,912.04/688.34
  6. Step 6: Final answer
    x = 795.99

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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.