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Finding the Fourth Proportional to 1,284.53, 1,925.99 and 707.81

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Solution

The fourth proportional to 1,284.53, 1,925.99 and 707.81 is: 1,061.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.53 : 1,925.99 = 707.81 : x
  2. Step 2: Convert to fraction form
    1,284.53/1,925.99 = 707.81/x
  3. Step 3: Cross multiply
    1,284.53x = 1,925.99 × 707.81
  4. Step 4: Simplify right side
    1,284.53x = 1,363,231.44
  5. Step 5: Solve for x
    x = 1,363,231.44/1,284.53
  6. Step 6: Final answer
    x = 1,061.27

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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.