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Finding the Fourth Proportional to 524.70, 790.79 and 492.30

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Solution

The fourth proportional to 524.70, 790.79 and 492.30 is: 741.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.70 : 790.79 = 492.30 : x
  2. Step 2: Convert to fraction form
    524.70/790.79 = 492.30/x
  3. Step 3: Cross multiply
    524.70x = 790.79 × 492.30
  4. Step 4: Simplify right side
    524.70x = 389,303.46
  5. Step 5: Solve for x
    x = 389,303.46/524.70
  6. Step 6: Final answer
    x = 741.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.