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Finding the Fourth Proportional to 417.77, 623.06 and 404.10

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Solution

The fourth proportional to 417.77, 623.06 and 404.10 is: 602.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.77 : 623.06 = 404.10 : x
  2. Step 2: Convert to fraction form
    417.77/623.06 = 404.10/x
  3. Step 3: Cross multiply
    417.77x = 623.06 × 404.10
  4. Step 4: Simplify right side
    417.77x = 251,778.55
  5. Step 5: Solve for x
    x = 251,778.55/417.77
  6. Step 6: Final answer
    x = 602.67

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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.