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Finding the Fourth Proportional to 985.70, 1,477.18 and 498.18

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Solution

The fourth proportional to 985.70, 1,477.18 and 498.18 is: 746.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.70 : 1,477.18 = 498.18 : x
  2. Step 2: Convert to fraction form
    985.70/1,477.18 = 498.18/x
  3. Step 3: Cross multiply
    985.70x = 1,477.18 × 498.18
  4. Step 4: Simplify right side
    985.70x = 735,907.69
  5. Step 5: Solve for x
    x = 735,907.69/985.70
  6. Step 6: Final answer
    x = 746.58

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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.