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Finding the Fourth Proportional to 927.23, 1,389.53 and 652.76

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Solution

The fourth proportional to 927.23, 1,389.53 and 652.76 is: 978.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.23 : 1,389.53 = 652.76 : x
  2. Step 2: Convert to fraction form
    927.23/1,389.53 = 652.76/x
  3. Step 3: Cross multiply
    927.23x = 1,389.53 × 652.76
  4. Step 4: Simplify right side
    927.23x = 907,026.34
  5. Step 5: Solve for x
    x = 907,026.34/927.23
  6. Step 6: Final answer
    x = 978.21

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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.