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Finding the Fourth Proportional to 985.33, 1,477.05 and 368.88

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Solution

The fourth proportional to 985.33, 1,477.05 and 368.88 is: 552.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.33 : 1,477.05 = 368.88 : x
  2. Step 2: Convert to fraction form
    985.33/1,477.05 = 368.88/x
  3. Step 3: Cross multiply
    985.33x = 1,477.05 × 368.88
  4. Step 4: Simplify right side
    985.33x = 544,854.20
  5. Step 5: Solve for x
    x = 544,854.20/985.33
  6. Step 6: Final answer
    x = 552.97

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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.