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Finding the Fourth Proportional to 1,004.42, 1,386.05 and 556.31

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Solution

The fourth proportional to 1,004.42, 1,386.05 and 556.31 is: 767.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.42 : 1,386.05 = 556.31 : x
  2. Step 2: Convert to fraction form
    1,004.42/1,386.05 = 556.31/x
  3. Step 3: Cross multiply
    1,004.42x = 1,386.05 × 556.31
  4. Step 4: Simplify right side
    1,004.42x = 771,073.48
  5. Step 5: Solve for x
    x = 771,073.48/1,004.42
  6. Step 6: Final answer
    x = 767.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.