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Finding the Fourth Proportional to 601.22, 900.43 and 463.16

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Solution

The fourth proportional to 601.22, 900.43 and 463.16 is: 693.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.22 : 900.43 = 463.16 : x
  2. Step 2: Convert to fraction form
    601.22/900.43 = 463.16/x
  3. Step 3: Cross multiply
    601.22x = 900.43 × 463.16
  4. Step 4: Simplify right side
    601.22x = 417,044.25
  5. Step 5: Solve for x
    x = 417,044.25/601.22
  6. Step 6: Final answer
    x = 693.66

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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.