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Finding the Fourth Proportional to 607.50, 909.53 and 401.46

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Solution

The fourth proportional to 607.50, 909.53 and 401.46 is: 601.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.50 : 909.53 = 401.46 : x
  2. Step 2: Convert to fraction form
    607.50/909.53 = 401.46/x
  3. Step 3: Cross multiply
    607.50x = 909.53 × 401.46
  4. Step 4: Simplify right side
    607.50x = 365,136.00
  5. Step 5: Solve for x
    x = 365,136.00/607.50
  6. Step 6: Final answer
    x = 601.05

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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.