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Finding the Fourth Proportional to 899.84, 1,349.85 and 509.78

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Solution

The fourth proportional to 899.84, 1,349.85 and 509.78 is: 764.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.84 : 1,349.85 = 509.78 : x
  2. Step 2: Convert to fraction form
    899.84/1,349.85 = 509.78/x
  3. Step 3: Cross multiply
    899.84x = 1,349.85 × 509.78
  4. Step 4: Simplify right side
    899.84x = 688,126.53
  5. Step 5: Solve for x
    x = 688,126.53/899.84
  6. Step 6: Final answer
    x = 764.72

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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.