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Finding the Fourth Proportional to 970.82, 1,455.14 and 483.56

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Solution

The fourth proportional to 970.82, 1,455.14 and 483.56 is: 724.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.82 : 1,455.14 = 483.56 : x
  2. Step 2: Convert to fraction form
    970.82/1,455.14 = 483.56/x
  3. Step 3: Cross multiply
    970.82x = 1,455.14 × 483.56
  4. Step 4: Simplify right side
    970.82x = 703,647.50
  5. Step 5: Solve for x
    x = 703,647.50/970.82
  6. Step 6: Final answer
    x = 724.80

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Double scale
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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.