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Finding the Fourth Proportional to 897.75, 1,345.05 and 410.13

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Solution

The fourth proportional to 897.75, 1,345.05 and 410.13 is: 614.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.75 : 1,345.05 = 410.13 : x
  2. Step 2: Convert to fraction form
    897.75/1,345.05 = 410.13/x
  3. Step 3: Cross multiply
    897.75x = 1,345.05 × 410.13
  4. Step 4: Simplify right side
    897.75x = 551,645.36
  5. Step 5: Solve for x
    x = 551,645.36/897.75
  6. Step 6: Final answer
    x = 614.48

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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.