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Finding the Fourth Proportional to 1,050.63, 1,575.98 and 465.51

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Solution

The fourth proportional to 1,050.63, 1,575.98 and 465.51 is: 698.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.63 : 1,575.98 = 465.51 : x
  2. Step 2: Convert to fraction form
    1,050.63/1,575.98 = 465.51/x
  3. Step 3: Cross multiply
    1,050.63x = 1,575.98 × 465.51
  4. Step 4: Simplify right side
    1,050.63x = 733,632.12
  5. Step 5: Solve for x
    x = 733,632.12/1,050.63
  6. Step 6: Final answer
    x = 698.28

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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.