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Finding the Fourth Proportional to 903.08, 1,355.16 and 616.88

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Solution

The fourth proportional to 903.08, 1,355.16 and 616.88 is: 925.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.08 : 1,355.16 = 616.88 : x
  2. Step 2: Convert to fraction form
    903.08/1,355.16 = 616.88/x
  3. Step 3: Cross multiply
    903.08x = 1,355.16 × 616.88
  4. Step 4: Simplify right side
    903.08x = 835,971.10
  5. Step 5: Solve for x
    x = 835,971.10/903.08
  6. Step 6: Final answer
    x = 925.69

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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.