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Finding the Fourth Proportional to 1,050.53, 1,575.85 and 357.22

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Solution

The fourth proportional to 1,050.53, 1,575.85 and 357.22 is: 535.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.53 : 1,575.85 = 357.22 : x
  2. Step 2: Convert to fraction form
    1,050.53/1,575.85 = 357.22/x
  3. Step 3: Cross multiply
    1,050.53x = 1,575.85 × 357.22
  4. Step 4: Simplify right side
    1,050.53x = 562,925.14
  5. Step 5: Solve for x
    x = 562,925.14/1,050.53
  6. Step 6: Final answer
    x = 535.85

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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.