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Finding the Fourth Proportional to 704.53, 1,056.30 and 499.51

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Solution

The fourth proportional to 704.53, 1,056.30 and 499.51 is: 748.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.53 : 1,056.30 = 499.51 : x
  2. Step 2: Convert to fraction form
    704.53/1,056.30 = 499.51/x
  3. Step 3: Cross multiply
    704.53x = 1,056.30 × 499.51
  4. Step 4: Simplify right side
    704.53x = 527,632.41
  5. Step 5: Solve for x
    x = 527,632.41/704.53
  6. Step 6: Final answer
    x = 748.91

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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.