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Finding the Fourth Proportional to 1,046.53, 1,568.43 and 784.47

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Solution

The fourth proportional to 1,046.53, 1,568.43 and 784.47 is: 1,175.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.53 : 1,568.43 = 784.47 : x
  2. Step 2: Convert to fraction form
    1,046.53/1,568.43 = 784.47/x
  3. Step 3: Cross multiply
    1,046.53x = 1,568.43 × 784.47
  4. Step 4: Simplify right side
    1,046.53x = 1,230,386.28
  5. Step 5: Solve for x
    x = 1,230,386.28/1,046.53
  6. Step 6: Final answer
    x = 1,175.68

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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.