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Finding the Fourth Proportional to 985.16, 1,476.66 and 497.54

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Solution

The fourth proportional to 985.16, 1,476.66 and 497.54 is: 745.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.16 : 1,476.66 = 497.54 : x
  2. Step 2: Convert to fraction form
    985.16/1,476.66 = 497.54/x
  3. Step 3: Cross multiply
    985.16x = 1,476.66 × 497.54
  4. Step 4: Simplify right side
    985.16x = 734,697.42
  5. Step 5: Solve for x
    x = 734,697.42/985.16
  6. Step 6: Final answer
    x = 745.76

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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.