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Finding the Fourth Proportional to 784.08, 1,075.68 and 734.40

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Solution

The fourth proportional to 784.08, 1,075.68 and 734.40 is: 1,007.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.08 : 1,075.68 = 734.40 : x
  2. Step 2: Convert to fraction form
    784.08/1,075.68 = 734.40/x
  3. Step 3: Cross multiply
    784.08x = 1,075.68 × 734.40
  4. Step 4: Simplify right side
    784.08x = 789,979.39
  5. Step 5: Solve for x
    x = 789,979.39/784.08
  6. Step 6: Final answer
    x = 1,007.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.