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Finding the Fourth Proportional to 985.25, 1,477.14 and 595.39

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Solution

The fourth proportional to 985.25, 1,477.14 and 595.39 is: 892.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.25 : 1,477.14 = 595.39 : x
  2. Step 2: Convert to fraction form
    985.25/1,477.14 = 595.39/x
  3. Step 3: Cross multiply
    985.25x = 1,477.14 × 595.39
  4. Step 4: Simplify right side
    985.25x = 879,471.41
  5. Step 5: Solve for x
    x = 879,471.41/985.25
  6. Step 6: Final answer
    x = 892.64

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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.