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Finding the Fourth Proportional to 1,128.74, 1,693.08 and 512.00

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Solution

The fourth proportional to 1,128.74, 1,693.08 and 512.00 is: 767.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.74 : 1,693.08 = 512.00 : x
  2. Step 2: Convert to fraction form
    1,128.74/1,693.08 = 512.00/x
  3. Step 3: Cross multiply
    1,128.74x = 1,693.08 × 512.00
  4. Step 4: Simplify right side
    1,128.74x = 866,848.49
  5. Step 5: Solve for x
    x = 866,848.49/1,128.74
  6. Step 6: Final answer
    x = 767.98

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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.