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Finding the Fourth Proportional to 1,050, 1,575 and 366

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Solution

The fourth proportional to 1,050, 1,575 and 366 is: 549

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050 : 1,575 = 366 : x
  2. Step 2: Convert to fraction form
    1,050/1,575 = 366/x
  3. Step 3: Cross multiply
    1,050x = 1,575 × 366
  4. Step 4: Simplify right side
    1,050x = 576,450
  5. Step 5: Solve for x
    x = 576,450/1,050
  6. Step 6: Final answer
    x = 549

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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.