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Finding the Fourth Proportional to 607.53, 909.72 and 509.79

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Solution

The fourth proportional to 607.53, 909.72 and 509.79 is: 763.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.53 : 909.72 = 509.79 : x
  2. Step 2: Convert to fraction form
    607.53/909.72 = 509.79/x
  3. Step 3: Cross multiply
    607.53x = 909.72 × 509.79
  4. Step 4: Simplify right side
    607.53x = 463,769.57
  5. Step 5: Solve for x
    x = 463,769.57/607.53
  6. Step 6: Final answer
    x = 763.36

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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.