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Finding the Fourth Proportional to 973.89, 1,460.15 and 486.60

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Solution

The fourth proportional to 973.89, 1,460.15 and 486.60 is: 729.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.89 : 1,460.15 = 486.60 : x
  2. Step 2: Convert to fraction form
    973.89/1,460.15 = 486.60/x
  3. Step 3: Cross multiply
    973.89x = 1,460.15 × 486.60
  4. Step 4: Simplify right side
    973.89x = 710,508.99
  5. Step 5: Solve for x
    x = 710,508.99/973.89
  6. Step 6: Final answer
    x = 729.56

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1.5x scale

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.