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Finding the Fourth Proportional to 1,007.74, 1,512.04 and 569.32

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Solution

The fourth proportional to 1,007.74, 1,512.04 and 569.32 is: 854.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.74 : 1,512.04 = 569.32 : x
  2. Step 2: Convert to fraction form
    1,007.74/1,512.04 = 569.32/x
  3. Step 3: Cross multiply
    1,007.74x = 1,512.04 × 569.32
  4. Step 4: Simplify right side
    1,007.74x = 860,834.61
  5. Step 5: Solve for x
    x = 860,834.61/1,007.74
  6. Step 6: Final answer
    x = 854.22

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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.