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Finding the Fourth Proportional to 897.91, 1,347.06 and 411.10

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Solution

The fourth proportional to 897.91, 1,347.06 and 411.10 is: 616.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.91 : 1,347.06 = 411.10 : x
  2. Step 2: Convert to fraction form
    897.91/1,347.06 = 411.10/x
  3. Step 3: Cross multiply
    897.91x = 1,347.06 × 411.10
  4. Step 4: Simplify right side
    897.91x = 553,776.37
  5. Step 5: Solve for x
    x = 553,776.37/897.91
  6. Step 6: Final answer
    x = 616.74

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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.