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Finding the Fourth Proportional to 1,953.01, 2,929.47 and 719.93

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Solution

The fourth proportional to 1,953.01, 2,929.47 and 719.93 is: 1,079.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.01 : 2,929.47 = 719.93 : x
  2. Step 2: Convert to fraction form
    1,953.01/2,929.47 = 719.93/x
  3. Step 3: Cross multiply
    1,953.01x = 2,929.47 × 719.93
  4. Step 4: Simplify right side
    1,953.01x = 2,109,013.34
  5. Step 5: Solve for x
    x = 2,109,013.34/1,953.01
  6. Step 6: Final answer
    x = 1,079.88

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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.