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Finding the Fourth Proportional to 1,071.52, 1,478.64 and 623.32

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Solution

The fourth proportional to 1,071.52, 1,478.64 and 623.32 is: 860.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.52 : 1,478.64 = 623.32 : x
  2. Step 2: Convert to fraction form
    1,071.52/1,478.64 = 623.32/x
  3. Step 3: Cross multiply
    1,071.52x = 1,478.64 × 623.32
  4. Step 4: Simplify right side
    1,071.52x = 921,665.88
  5. Step 5: Solve for x
    x = 921,665.88/1,071.52
  6. Step 6: Final answer
    x = 860.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.