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Finding the Fourth Proportional to 985.02, 1,477.94 and 498.21

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Solution

The fourth proportional to 985.02, 1,477.94 and 498.21 is: 747.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.02 : 1,477.94 = 498.21 : x
  2. Step 2: Convert to fraction form
    985.02/1,477.94 = 498.21/x
  3. Step 3: Cross multiply
    985.02x = 1,477.94 × 498.21
  4. Step 4: Simplify right side
    985.02x = 736,322.00
  5. Step 5: Solve for x
    x = 736,322.00/985.02
  6. Step 6: Final answer
    x = 747.52

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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.