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Finding the Fourth Proportional to 903.33, 1,246.62 and 510.34

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Solution

The fourth proportional to 903.33, 1,246.62 and 510.34 is: 704.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.33 : 1,246.62 = 510.34 : x
  2. Step 2: Convert to fraction form
    903.33/1,246.62 = 510.34/x
  3. Step 3: Cross multiply
    903.33x = 1,246.62 × 510.34
  4. Step 4: Simplify right side
    903.33x = 636,201.25
  5. Step 5: Solve for x
    x = 636,201.25/903.33
  6. Step 6: Final answer
    x = 704.29

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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.