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Finding the Fourth Proportional to 970.61, 1,454.49 and 482.99

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Solution

The fourth proportional to 970.61, 1,454.49 and 482.99 is: 723.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.61 : 1,454.49 = 482.99 : x
  2. Step 2: Convert to fraction form
    970.61/1,454.49 = 482.99/x
  3. Step 3: Cross multiply
    970.61x = 1,454.49 × 482.99
  4. Step 4: Simplify right side
    970.61x = 702,496.85
  5. Step 5: Solve for x
    x = 702,496.85/970.61
  6. Step 6: Final answer
    x = 723.77

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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.