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Finding the Fourth Proportional to 973.32, 1,460.91 and 648.92

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Solution

The fourth proportional to 973.32, 1,460.91 and 648.92 is: 973.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.32 : 1,460.91 = 648.92 : x
  2. Step 2: Convert to fraction form
    973.32/1,460.91 = 648.92/x
  3. Step 3: Cross multiply
    973.32x = 1,460.91 × 648.92
  4. Step 4: Simplify right side
    973.32x = 948,006.41
  5. Step 5: Solve for x
    x = 948,006.41/973.32
  6. Step 6: Final answer
    x = 973.99

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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.