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Finding the Fourth Proportional to 645.93, 891.42 and 384.03

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Solution

The fourth proportional to 645.93, 891.42 and 384.03 is: 529.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.93 : 891.42 = 384.03 : x
  2. Step 2: Convert to fraction form
    645.93/891.42 = 384.03/x
  3. Step 3: Cross multiply
    645.93x = 891.42 × 384.03
  4. Step 4: Simplify right side
    645.93x = 342,332.02
  5. Step 5: Solve for x
    x = 342,332.02/645.93
  6. Step 6: Final answer
    x = 529.98

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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.