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Finding the Fourth Proportional to 985.46, 1,478.10 and 369.02

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Solution

The fourth proportional to 985.46, 1,478.10 and 369.02 is: 553.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.46 : 1,478.10 = 369.02 : x
  2. Step 2: Convert to fraction form
    985.46/1,478.10 = 369.02/x
  3. Step 3: Cross multiply
    985.46x = 1,478.10 × 369.02
  4. Step 4: Simplify right side
    985.46x = 545,448.46
  5. Step 5: Solve for x
    x = 545,448.46/985.46
  6. Step 6: Final answer
    x = 553.50

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1.5x scale

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.