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Finding the Fourth Proportional to 897.08, 1,345.88 and 486.10

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Solution

The fourth proportional to 897.08, 1,345.88 and 486.10 is: 729.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.08 : 1,345.88 = 486.10 : x
  2. Step 2: Convert to fraction form
    897.08/1,345.88 = 486.10/x
  3. Step 3: Cross multiply
    897.08x = 1,345.88 × 486.10
  4. Step 4: Simplify right side
    897.08x = 654,232.27
  5. Step 5: Solve for x
    x = 654,232.27/897.08
  6. Step 6: Final answer
    x = 729.29

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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.