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Finding the Fourth Proportional to 1,568.19, 2,352.32 and 457.69

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Solution

The fourth proportional to 1,568.19, 2,352.32 and 457.69 is: 686.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.19 : 2,352.32 = 457.69 : x
  2. Step 2: Convert to fraction form
    1,568.19/2,352.32 = 457.69/x
  3. Step 3: Cross multiply
    1,568.19x = 2,352.32 × 457.69
  4. Step 4: Simplify right side
    1,568.19x = 1,076,637.43
  5. Step 5: Solve for x
    x = 1,076,637.43/1,568.19
  6. Step 6: Final answer
    x = 686.55

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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.