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Finding the Fourth Proportional to 1,106.63, 1,525.89 and 707.76

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Solution

The fourth proportional to 1,106.63, 1,525.89 and 707.76 is: 975.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.63 : 1,525.89 = 707.76 : x
  2. Step 2: Convert to fraction form
    1,106.63/1,525.89 = 707.76/x
  3. Step 3: Cross multiply
    1,106.63x = 1,525.89 × 707.76
  4. Step 4: Simplify right side
    1,106.63x = 1,079,963.91
  5. Step 5: Solve for x
    x = 1,079,963.91/1,106.63
  6. Step 6: Final answer
    x = 975.91

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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.