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Finding the Fourth Proportional to 1,386.50, 1,913.38 and 765.50

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Solution

The fourth proportional to 1,386.50, 1,913.38 and 765.50 is: 1,056.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.50 : 1,913.38 = 765.50 : x
  2. Step 2: Convert to fraction form
    1,386.50/1,913.38 = 765.50/x
  3. Step 3: Cross multiply
    1,386.50x = 1,913.38 × 765.50
  4. Step 4: Simplify right side
    1,386.50x = 1,464,692.39
  5. Step 5: Solve for x
    x = 1,464,692.39/1,386.50
  6. Step 6: Final answer
    x = 1,056.40

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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.