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Finding the Fourth Proportional to 1,050.31, 1,575.64 and 357.04

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Solution

The fourth proportional to 1,050.31, 1,575.64 and 357.04 is: 535.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.31 : 1,575.64 = 357.04 : x
  2. Step 2: Convert to fraction form
    1,050.31/1,575.64 = 357.04/x
  3. Step 3: Cross multiply
    1,050.31x = 1,575.64 × 357.04
  4. Step 4: Simplify right side
    1,050.31x = 562,564.72
  5. Step 5: Solve for x
    x = 562,564.72/1,050.31
  6. Step 6: Final answer
    x = 535.62

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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.