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Finding the Fourth Proportional to 774.63, 1,070.01 and 686.25

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Solution

The fourth proportional to 774.63, 1,070.01 and 686.25 is: 947.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.63 : 1,070.01 = 686.25 : x
  2. Step 2: Convert to fraction form
    774.63/1,070.01 = 686.25/x
  3. Step 3: Cross multiply
    774.63x = 1,070.01 × 686.25
  4. Step 4: Simplify right side
    774.63x = 734,294.36
  5. Step 5: Solve for x
    x = 734,294.36/774.63
  6. Step 6: Final answer
    x = 947.93

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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.