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Finding the Fourth Proportional to 903.01, 1,246.12 and 509.98

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Solution

The fourth proportional to 903.01, 1,246.12 and 509.98 is: 703.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.01 : 1,246.12 = 509.98 : x
  2. Step 2: Convert to fraction form
    903.01/1,246.12 = 509.98/x
  3. Step 3: Cross multiply
    903.01x = 1,246.12 × 509.98
  4. Step 4: Simplify right side
    903.01x = 635,496.28
  5. Step 5: Solve for x
    x = 635,496.28/903.01
  6. Step 6: Final answer
    x = 703.75

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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.