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Finding the Fourth Proportional to 596.61, 894.77 and 401.51

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Solution

The fourth proportional to 596.61, 894.77 and 401.51 is: 602.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.61 : 894.77 = 401.51 : x
  2. Step 2: Convert to fraction form
    596.61/894.77 = 401.51/x
  3. Step 3: Cross multiply
    596.61x = 894.77 × 401.51
  4. Step 4: Simplify right side
    596.61x = 359,254.13
  5. Step 5: Solve for x
    x = 359,254.13/596.61
  6. Step 6: Final answer
    x = 602.16

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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.