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Finding the Fourth Proportional to 972.36, 1,342.76 and 623.66

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Solution

The fourth proportional to 972.36, 1,342.76 and 623.66 is: 861.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.36 : 1,342.76 = 623.66 : x
  2. Step 2: Convert to fraction form
    972.36/1,342.76 = 623.66/x
  3. Step 3: Cross multiply
    972.36x = 1,342.76 × 623.66
  4. Step 4: Simplify right side
    972.36x = 837,415.87
  5. Step 5: Solve for x
    x = 837,415.87/972.36
  6. Step 6: Final answer
    x = 861.22

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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.