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Finding the Fourth Proportional to 675.48, 1,011.87 and 578.46

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Solution

The fourth proportional to 675.48, 1,011.87 and 578.46 is: 866.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.48 : 1,011.87 = 578.46 : x
  2. Step 2: Convert to fraction form
    675.48/1,011.87 = 578.46/x
  3. Step 3: Cross multiply
    675.48x = 1,011.87 × 578.46
  4. Step 4: Simplify right side
    675.48x = 585,326.32
  5. Step 5: Solve for x
    x = 585,326.32/675.48
  6. Step 6: Final answer
    x = 866.53

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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.