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Finding the Fourth Proportional to 485.77, 670.68 and 369.13

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Solution

The fourth proportional to 485.77, 670.68 and 369.13 is: 509.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.77 : 670.68 = 369.13 : x
  2. Step 2: Convert to fraction form
    485.77/670.68 = 369.13/x
  3. Step 3: Cross multiply
    485.77x = 670.68 × 369.13
  4. Step 4: Simplify right side
    485.77x = 247,568.11
  5. Step 5: Solve for x
    x = 247,568.11/485.77
  6. Step 6: Final answer
    x = 509.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.