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Finding the Fourth Proportional to 1,036.78, 1,430.85 and 774.34

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Solution

The fourth proportional to 1,036.78, 1,430.85 and 774.34 is: 1,068.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.78 : 1,430.85 = 774.34 : x
  2. Step 2: Convert to fraction form
    1,036.78/1,430.85 = 774.34/x
  3. Step 3: Cross multiply
    1,036.78x = 1,430.85 × 774.34
  4. Step 4: Simplify right side
    1,036.78x = 1,107,963.72
  5. Step 5: Solve for x
    x = 1,107,963.72/1,036.78
  6. Step 6: Final answer
    x = 1,068.66

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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.