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Finding the Fourth Proportional to 646.00, 891.61 and 384.17

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Solution

The fourth proportional to 646.00, 891.61 and 384.17 is: 530.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.00 : 891.61 = 384.17 : x
  2. Step 2: Convert to fraction form
    646.00/891.61 = 384.17/x
  3. Step 3: Cross multiply
    646.00x = 891.61 × 384.17
  4. Step 4: Simplify right side
    646.00x = 342,524.40
  5. Step 5: Solve for x
    x = 342,524.40/646.00
  6. Step 6: Final answer
    x = 530.23

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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.