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Finding the Fourth Proportional to 973.04, 1,459.12 and 509.76

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Solution

The fourth proportional to 973.04, 1,459.12 and 509.76 is: 764.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.04 : 1,459.12 = 509.76 : x
  2. Step 2: Convert to fraction form
    973.04/1,459.12 = 509.76/x
  3. Step 3: Cross multiply
    973.04x = 1,459.12 × 509.76
  4. Step 4: Simplify right side
    973.04x = 743,801.01
  5. Step 5: Solve for x
    x = 743,801.01/973.04
  6. Step 6: Final answer
    x = 764.41

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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.