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Finding the Fourth Proportional to 1,093.71, 1,509.54 and 700.77

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Solution

The fourth proportional to 1,093.71, 1,509.54 and 700.77 is: 967.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.71 : 1,509.54 = 700.77 : x
  2. Step 2: Convert to fraction form
    1,093.71/1,509.54 = 700.77/x
  3. Step 3: Cross multiply
    1,093.71x = 1,509.54 × 700.77
  4. Step 4: Simplify right side
    1,093.71x = 1,057,840.35
  5. Step 5: Solve for x
    x = 1,057,840.35/1,093.71
  6. Step 6: Final answer
    x = 967.20

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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.