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Finding the Fourth Proportional to 1,038.80, 1,556.22 and 647.76

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Solution

The fourth proportional to 1,038.80, 1,556.22 and 647.76 is: 970.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.80 : 1,556.22 = 647.76 : x
  2. Step 2: Convert to fraction form
    1,038.80/1,556.22 = 647.76/x
  3. Step 3: Cross multiply
    1,038.80x = 1,556.22 × 647.76
  4. Step 4: Simplify right side
    1,038.80x = 1,008,057.07
  5. Step 5: Solve for x
    x = 1,008,057.07/1,038.80
  6. Step 6: Final answer
    x = 970.41

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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.