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Finding the Fourth Proportional to 840.09, 1,257.53 and 715.53

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Solution

The fourth proportional to 840.09, 1,257.53 and 715.53 is: 1,071.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.09 : 1,257.53 = 715.53 : x
  2. Step 2: Convert to fraction form
    840.09/1,257.53 = 715.53/x
  3. Step 3: Cross multiply
    840.09x = 1,257.53 × 715.53
  4. Step 4: Simplify right side
    840.09x = 899,800.44
  5. Step 5: Solve for x
    x = 899,800.44/840.09
  6. Step 6: Final answer
    x = 1,071.08

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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.