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Finding the Fourth Proportional to 1,526.49, 2,287.86 and 703.62

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Solution

The fourth proportional to 1,526.49, 2,287.86 and 703.62 is: 1,054.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.49 : 2,287.86 = 703.62 : x
  2. Step 2: Convert to fraction form
    1,526.49/2,287.86 = 703.62/x
  3. Step 3: Cross multiply
    1,526.49x = 2,287.86 × 703.62
  4. Step 4: Simplify right side
    1,526.49x = 1,609,784.05
  5. Step 5: Solve for x
    x = 1,609,784.05/1,526.49
  6. Step 6: Final answer
    x = 1,054.57

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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.