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Finding the Fourth Proportional to 1,046.78, 1,567.65 and 612.62

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Solution

The fourth proportional to 1,046.78, 1,567.65 and 612.62 is: 917.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.78 : 1,567.65 = 612.62 : x
  2. Step 2: Convert to fraction form
    1,046.78/1,567.65 = 612.62/x
  3. Step 3: Cross multiply
    1,046.78x = 1,567.65 × 612.62
  4. Step 4: Simplify right side
    1,046.78x = 960,373.74
  5. Step 5: Solve for x
    x = 960,373.74/1,046.78
  6. Step 6: Final answer
    x = 917.46

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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.