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Finding the Fourth Proportional to 1,068.69, 1,602.81 and 410.36

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Solution

The fourth proportional to 1,068.69, 1,602.81 and 410.36 is: 615.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.69 : 1,602.81 = 410.36 : x
  2. Step 2: Convert to fraction form
    1,068.69/1,602.81 = 410.36/x
  3. Step 3: Cross multiply
    1,068.69x = 1,602.81 × 410.36
  4. Step 4: Simplify right side
    1,068.69x = 657,721.10
  5. Step 5: Solve for x
    x = 657,721.10/1,068.69
  6. Step 6: Final answer
    x = 615.45

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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.