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Finding the Fourth Proportional to 985.17, 1,476.99 and 497.55

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Solution

The fourth proportional to 985.17, 1,476.99 and 497.55 is: 745.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.17 : 1,476.99 = 497.55 : x
  2. Step 2: Convert to fraction form
    985.17/1,476.99 = 497.55/x
  3. Step 3: Cross multiply
    985.17x = 1,476.99 × 497.55
  4. Step 4: Simplify right side
    985.17x = 734,876.37
  5. Step 5: Solve for x
    x = 734,876.37/985.17
  6. Step 6: Final answer
    x = 745.94

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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.