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Finding the Fourth Proportional to 1,050.48, 1,575.72 and 310.14

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Solution

The fourth proportional to 1,050.48, 1,575.72 and 310.14 is: 465.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.48 : 1,575.72 = 310.14 : x
  2. Step 2: Convert to fraction form
    1,050.48/1,575.72 = 310.14/x
  3. Step 3: Cross multiply
    1,050.48x = 1,575.72 × 310.14
  4. Step 4: Simplify right side
    1,050.48x = 488,693.80
  5. Step 5: Solve for x
    x = 488,693.80/1,050.48
  6. Step 6: Final answer
    x = 465.21

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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.