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Finding the Fourth Proportional to 1,580.32, 2,370.72 and 554.08

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Solution

The fourth proportional to 1,580.32, 2,370.72 and 554.08 is: 831.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.32 : 2,370.72 = 554.08 : x
  2. Step 2: Convert to fraction form
    1,580.32/2,370.72 = 554.08/x
  3. Step 3: Cross multiply
    1,580.32x = 2,370.72 × 554.08
  4. Step 4: Simplify right side
    1,580.32x = 1,313,568.54
  5. Step 5: Solve for x
    x = 1,313,568.54/1,580.32
  6. Step 6: Final answer
    x = 831.20

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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.