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Finding the Fourth Proportional to 840.45, 1,265.72 and 711.32

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Solution

The fourth proportional to 840.45, 1,265.72 and 711.32 is: 1,071.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.45 : 1,265.72 = 711.32 : x
  2. Step 2: Convert to fraction form
    840.45/1,265.72 = 711.32/x
  3. Step 3: Cross multiply
    840.45x = 1,265.72 × 711.32
  4. Step 4: Simplify right side
    840.45x = 900,322.07
  5. Step 5: Solve for x
    x = 900,322.07/840.45
  6. Step 6: Final answer
    x = 1,071.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.