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Finding the Fourth Proportional to 984.53, 1,477.14 and 437.10

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Solution

The fourth proportional to 984.53, 1,477.14 and 437.10 is: 655.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.53 : 1,477.14 = 437.10 : x
  2. Step 2: Convert to fraction form
    984.53/1,477.14 = 437.10/x
  3. Step 3: Cross multiply
    984.53x = 1,477.14 × 437.10
  4. Step 4: Simplify right side
    984.53x = 645,648.32
  5. Step 5: Solve for x
    x = 645,648.32/984.53
  6. Step 6: Final answer
    x = 655.79

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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.