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Finding the Fourth Proportional to 916.08, 1,370.56 and 777.28

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Solution

The fourth proportional to 916.08, 1,370.56 and 777.28 is: 1,162.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.08 : 1,370.56 = 777.28 : x
  2. Step 2: Convert to fraction form
    916.08/1,370.56 = 777.28/x
  3. Step 3: Cross multiply
    916.08x = 1,370.56 × 777.28
  4. Step 4: Simplify right side
    916.08x = 1,065,308.88
  5. Step 5: Solve for x
    x = 1,065,308.88/916.08
  6. Step 6: Final answer
    x = 1,162.90

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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.