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Finding the Fourth Proportional to 903.90, 1,353.96 and 469.74

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Solution

The fourth proportional to 903.90, 1,353.96 and 469.74 is: 703.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.90 : 1,353.96 = 469.74 : x
  2. Step 2: Convert to fraction form
    903.90/1,353.96 = 469.74/x
  3. Step 3: Cross multiply
    903.90x = 1,353.96 × 469.74
  4. Step 4: Simplify right side
    903.90x = 636,009.17
  5. Step 5: Solve for x
    x = 636,009.17/903.90
  6. Step 6: Final answer
    x = 703.63

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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.