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Finding the Fourth Proportional to 501.07, 691.50 and 291.28

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Solution

The fourth proportional to 501.07, 691.50 and 291.28 is: 401.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.07 : 691.50 = 291.28 : x
  2. Step 2: Convert to fraction form
    501.07/691.50 = 291.28/x
  3. Step 3: Cross multiply
    501.07x = 691.50 × 291.28
  4. Step 4: Simplify right side
    501.07x = 201,420.12
  5. Step 5: Solve for x
    x = 201,420.12/501.07
  6. Step 6: Final answer
    x = 401.98

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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.