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Finding the Fourth Proportional to 688.34, 949.23 and 501.51

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Solution

The fourth proportional to 688.34, 949.23 and 501.51 is: 691.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.34 : 949.23 = 501.51 : x
  2. Step 2: Convert to fraction form
    688.34/949.23 = 501.51/x
  3. Step 3: Cross multiply
    688.34x = 949.23 × 501.51
  4. Step 4: Simplify right side
    688.34x = 476,048.34
  5. Step 5: Solve for x
    x = 476,048.34/688.34
  6. Step 6: Final answer
    x = 691.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.