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Finding the Fourth Proportional to 509.24, 758.85 and 492.70

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Solution

The fourth proportional to 509.24, 758.85 and 492.70 is: 734.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.24 : 758.85 = 492.70 : x
  2. Step 2: Convert to fraction form
    509.24/758.85 = 492.70/x
  3. Step 3: Cross multiply
    509.24x = 758.85 × 492.70
  4. Step 4: Simplify right side
    509.24x = 373,885.40
  5. Step 5: Solve for x
    x = 373,885.40/509.24
  6. Step 6: Final answer
    x = 734.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.