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Finding the Fourth Proportional to 1,482.88, 2,223.60 and 508.64

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Solution

The fourth proportional to 1,482.88, 2,223.60 and 508.64 is: 762.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.88 : 2,223.60 = 508.64 : x
  2. Step 2: Convert to fraction form
    1,482.88/2,223.60 = 508.64/x
  3. Step 3: Cross multiply
    1,482.88x = 2,223.60 × 508.64
  4. Step 4: Simplify right side
    1,482.88x = 1,131,011.90
  5. Step 5: Solve for x
    x = 1,131,011.90/1,482.88
  6. Step 6: Final answer
    x = 762.71

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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.