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Finding the Fourth Proportional to 1,674.41, 2,509.61 and 578.16

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Solution

The fourth proportional to 1,674.41, 2,509.61 and 578.16 is: 866.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.41 : 2,509.61 = 578.16 : x
  2. Step 2: Convert to fraction form
    1,674.41/2,509.61 = 578.16/x
  3. Step 3: Cross multiply
    1,674.41x = 2,509.61 × 578.16
  4. Step 4: Simplify right side
    1,674.41x = 1,450,953.23
  5. Step 5: Solve for x
    x = 1,450,953.23/1,674.41
  6. Step 6: Final answer
    x = 866.55

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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.