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Finding the Fourth Proportional to 985.83, 1,477.79 and 574.89

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Solution

The fourth proportional to 985.83, 1,477.79 and 574.89 is: 861.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.83 : 1,477.79 = 574.89 : x
  2. Step 2: Convert to fraction form
    985.83/1,477.79 = 574.89/x
  3. Step 3: Cross multiply
    985.83x = 1,477.79 × 574.89
  4. Step 4: Simplify right side
    985.83x = 849,566.69
  5. Step 5: Solve for x
    x = 849,566.69/985.83
  6. Step 6: Final answer
    x = 861.78

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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.