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Finding the Fourth Proportional to 985.40, 1,478.70 and 552.52

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Solution

The fourth proportional to 985.40, 1,478.70 and 552.52 is: 829.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.40 : 1,478.70 = 552.52 : x
  2. Step 2: Convert to fraction form
    985.40/1,478.70 = 552.52/x
  3. Step 3: Cross multiply
    985.40x = 1,478.70 × 552.52
  4. Step 4: Simplify right side
    985.40x = 817,011.32
  5. Step 5: Solve for x
    x = 817,011.32/985.40
  6. Step 6: Final answer
    x = 829.12

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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.