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Finding the Fourth Proportional to 952.72, 1,428 and 404.08

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Solution

The fourth proportional to 952.72, 1,428 and 404.08 is: 605.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.72 : 1,428 = 404.08 : x
  2. Step 2: Convert to fraction form
    952.72/1,428 = 404.08/x
  3. Step 3: Cross multiply
    952.72x = 1,428 × 404.08
  4. Step 4: Simplify right side
    952.72x = 577,026.24
  5. Step 5: Solve for x
    x = 577,026.24/952.72
  6. Step 6: Final answer
    x = 605.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.