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Finding the Fourth Proportional to 607.60, 909.78 and 469.54

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Solution

The fourth proportional to 607.60, 909.78 and 469.54 is: 703.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.60 : 909.78 = 469.54 : x
  2. Step 2: Convert to fraction form
    607.60/909.78 = 469.54/x
  3. Step 3: Cross multiply
    607.60x = 909.78 × 469.54
  4. Step 4: Simplify right side
    607.60x = 427,178.10
  5. Step 5: Solve for x
    x = 427,178.10/607.60
  6. Step 6: Final answer
    x = 703.06

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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.