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Finding the Fourth Proportional to 973.98, 1,461.45 and 487.03

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Solution

The fourth proportional to 973.98, 1,461.45 and 487.03 is: 730.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.98 : 1,461.45 = 487.03 : x
  2. Step 2: Convert to fraction form
    973.98/1,461.45 = 487.03/x
  3. Step 3: Cross multiply
    973.98x = 1,461.45 × 487.03
  4. Step 4: Simplify right side
    973.98x = 711,769.99
  5. Step 5: Solve for x
    x = 711,769.99/973.98
  6. Step 6: Final answer
    x = 730.79

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Double scale
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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.