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Finding the Fourth Proportional to 704.77, 1,055.74 and 647.35

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Solution

The fourth proportional to 704.77, 1,055.74 and 647.35 is: 969.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.77 : 1,055.74 = 647.35 : x
  2. Step 2: Convert to fraction form
    704.77/1,055.74 = 647.35/x
  3. Step 3: Cross multiply
    704.77x = 1,055.74 × 647.35
  4. Step 4: Simplify right side
    704.77x = 683,433.29
  5. Step 5: Solve for x
    x = 683,433.29/704.77
  6. Step 6: Final answer
    x = 969.73

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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.