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Finding the Fourth Proportional to 1,529.88, 2,291.74 and 707.02

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Solution

The fourth proportional to 1,529.88, 2,291.74 and 707.02 is: 1,059.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.88 : 2,291.74 = 707.02 : x
  2. Step 2: Convert to fraction form
    1,529.88/2,291.74 = 707.02/x
  3. Step 3: Cross multiply
    1,529.88x = 2,291.74 × 707.02
  4. Step 4: Simplify right side
    1,529.88x = 1,620,306.01
  5. Step 5: Solve for x
    x = 1,620,306.01/1,529.88
  6. Step 6: Final answer
    x = 1,059.11

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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.