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Finding the Fourth Proportional to 478.74, 659.67 and 385.11

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Solution

The fourth proportional to 478.74, 659.67 and 385.11 is: 530.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.74 : 659.67 = 385.11 : x
  2. Step 2: Convert to fraction form
    478.74/659.67 = 385.11/x
  3. Step 3: Cross multiply
    478.74x = 659.67 × 385.11
  4. Step 4: Simplify right side
    478.74x = 254,045.51
  5. Step 5: Solve for x
    x = 254,045.51/478.74
  6. Step 6: Final answer
    x = 530.65

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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.