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Finding the Fourth Proportional to 985.12, 1,477.88 and 368.81

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Solution

The fourth proportional to 985.12, 1,477.88 and 368.81 is: 553.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.12 : 1,477.88 = 368.81 : x
  2. Step 2: Convert to fraction form
    985.12/1,477.88 = 368.81/x
  3. Step 3: Cross multiply
    985.12x = 1,477.88 × 368.81
  4. Step 4: Simplify right side
    985.12x = 545,056.92
  5. Step 5: Solve for x
    x = 545,056.92/985.12
  6. Step 6: Final answer
    x = 553.29

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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.