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Finding the Fourth Proportional to 984.76, 1,477.30 and 471.76

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Solution

The fourth proportional to 984.76, 1,477.30 and 471.76 is: 707.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.76 : 1,477.30 = 471.76 : x
  2. Step 2: Convert to fraction form
    984.76/1,477.30 = 471.76/x
  3. Step 3: Cross multiply
    984.76x = 1,477.30 × 471.76
  4. Step 4: Simplify right side
    984.76x = 696,931.05
  5. Step 5: Solve for x
    x = 696,931.05/984.76
  6. Step 6: Final answer
    x = 707.72

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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.