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Finding the Fourth Proportional to 646.05, 891.63 and 410.07

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Solution

The fourth proportional to 646.05, 891.63 and 410.07 is: 565.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.05 : 891.63 = 410.07 : x
  2. Step 2: Convert to fraction form
    646.05/891.63 = 410.07/x
  3. Step 3: Cross multiply
    646.05x = 891.63 × 410.07
  4. Step 4: Simplify right side
    646.05x = 365,630.71
  5. Step 5: Solve for x
    x = 365,630.71/646.05
  6. Step 6: Final answer
    x = 565.95

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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.