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Finding the Fourth Proportional to 897.24, 1,345.38 and 409.86

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Solution

The fourth proportional to 897.24, 1,345.38 and 409.86 is: 614.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.24 : 1,345.38 = 409.86 : x
  2. Step 2: Convert to fraction form
    897.24/1,345.38 = 409.86/x
  3. Step 3: Cross multiply
    897.24x = 1,345.38 × 409.86
  4. Step 4: Simplify right side
    897.24x = 551,417.45
  5. Step 5: Solve for x
    x = 551,417.45/897.24
  6. Step 6: Final answer
    x = 614.57

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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.