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Finding the Fourth Proportional to 492.58, 738.66 and 390.11

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Solution

The fourth proportional to 492.58, 738.66 and 390.11 is: 585.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.58 : 738.66 = 390.11 : x
  2. Step 2: Convert to fraction form
    492.58/738.66 = 390.11/x
  3. Step 3: Cross multiply
    492.58x = 738.66 × 390.11
  4. Step 4: Simplify right side
    492.58x = 288,158.65
  5. Step 5: Solve for x
    x = 288,158.65/492.58
  6. Step 6: Final answer
    x = 585.00

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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.