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Finding the Fourth Proportional to 1,337.51, 2,006.53 and 471.80

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Solution

The fourth proportional to 1,337.51, 2,006.53 and 471.80 is: 707.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.51 : 2,006.53 = 471.80 : x
  2. Step 2: Convert to fraction form
    1,337.51/2,006.53 = 471.80/x
  3. Step 3: Cross multiply
    1,337.51x = 2,006.53 × 471.80
  4. Step 4: Simplify right side
    1,337.51x = 946,669.64
  5. Step 5: Solve for x
    x = 946,669.64/1,337.51
  6. Step 6: Final answer
    x = 707.79

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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.