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Finding the Fourth Proportional to 970.82, 1,455.96 and 501.86

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Solution

The fourth proportional to 970.82, 1,455.96 and 501.86 is: 752.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.82 : 1,455.96 = 501.86 : x
  2. Step 2: Convert to fraction form
    970.82/1,455.96 = 501.86/x
  3. Step 3: Cross multiply
    970.82x = 1,455.96 × 501.86
  4. Step 4: Simplify right side
    970.82x = 730,688.09
  5. Step 5: Solve for x
    x = 730,688.09/970.82
  6. Step 6: Final answer
    x = 752.65

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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.