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Finding the Fourth Proportional to 501.84, 691.47 and 403.56

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Solution

The fourth proportional to 501.84, 691.47 and 403.56 is: 556.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.84 : 691.47 = 403.56 : x
  2. Step 2: Convert to fraction form
    501.84/691.47 = 403.56/x
  3. Step 3: Cross multiply
    501.84x = 691.47 × 403.56
  4. Step 4: Simplify right side
    501.84x = 279,049.63
  5. Step 5: Solve for x
    x = 279,049.63/501.84
  6. Step 6: Final answer
    x = 556.05

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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.