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Finding the Fourth Proportional to 973.50, 1,460.49 and 289.50

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Solution

The fourth proportional to 973.50, 1,460.49 and 289.50 is: 434.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.50 : 1,460.49 = 289.50 : x
  2. Step 2: Convert to fraction form
    973.50/1,460.49 = 289.50/x
  3. Step 3: Cross multiply
    973.50x = 1,460.49 × 289.50
  4. Step 4: Simplify right side
    973.50x = 422,811.86
  5. Step 5: Solve for x
    x = 422,811.86/973.50
  6. Step 6: Final answer
    x = 434.32

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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.