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Finding the Fourth Proportional to 403.74, 602.32 and 392.58

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Solution

The fourth proportional to 403.74, 602.32 and 392.58 is: 585.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.74 : 602.32 = 392.58 : x
  2. Step 2: Convert to fraction form
    403.74/602.32 = 392.58/x
  3. Step 3: Cross multiply
    403.74x = 602.32 × 392.58
  4. Step 4: Simplify right side
    403.74x = 236,458.79
  5. Step 5: Solve for x
    x = 236,458.79/403.74
  6. Step 6: Final answer
    x = 585.67

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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.