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Finding the Fourth Proportional to 462.72, 637.06 and 404.52

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Solution

The fourth proportional to 462.72, 637.06 and 404.52 is: 556.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.72 : 637.06 = 404.52 : x
  2. Step 2: Convert to fraction form
    462.72/637.06 = 404.52/x
  3. Step 3: Cross multiply
    462.72x = 637.06 × 404.52
  4. Step 4: Simplify right side
    462.72x = 257,703.51
  5. Step 5: Solve for x
    x = 257,703.51/462.72
  6. Step 6: Final answer
    x = 556.93

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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.