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Finding the Fourth Proportional to 1,004.76, 1,386.57 and 556.66

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Solution

The fourth proportional to 1,004.76, 1,386.57 and 556.66 is: 768.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.76 : 1,386.57 = 556.66 : x
  2. Step 2: Convert to fraction form
    1,004.76/1,386.57 = 556.66/x
  3. Step 3: Cross multiply
    1,004.76x = 1,386.57 × 556.66
  4. Step 4: Simplify right side
    1,004.76x = 771,852.62
  5. Step 5: Solve for x
    x = 771,852.62/1,004.76
  6. Step 6: Final answer
    x = 768.19

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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.