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Finding the Fourth Proportional to 601.48, 900.06 and 416.42

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Solution

The fourth proportional to 601.48, 900.06 and 416.42 is: 623.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.48 : 900.06 = 416.42 : x
  2. Step 2: Convert to fraction form
    601.48/900.06 = 416.42/x
  3. Step 3: Cross multiply
    601.48x = 900.06 × 416.42
  4. Step 4: Simplify right side
    601.48x = 374,802.99
  5. Step 5: Solve for x
    x = 374,802.99/601.48
  6. Step 6: Final answer
    x = 623.13

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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.