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Finding the Fourth Proportional to 971.05, 1,455.77 and 385.69

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Solution

The fourth proportional to 971.05, 1,455.77 and 385.69 is: 578.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.05 : 1,455.77 = 385.69 : x
  2. Step 2: Convert to fraction form
    971.05/1,455.77 = 385.69/x
  3. Step 3: Cross multiply
    971.05x = 1,455.77 × 385.69
  4. Step 4: Simplify right side
    971.05x = 561,475.93
  5. Step 5: Solve for x
    x = 561,475.93/971.05
  6. Step 6: Final answer
    x = 578.22

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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.