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Finding the Fourth Proportional to 970.46, 1,448.10 and 853.82

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Solution

The fourth proportional to 970.46, 1,448.10 and 853.82 is: 1,274.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.46 : 1,448.10 = 853.82 : x
  2. Step 2: Convert to fraction form
    970.46/1,448.10 = 853.82/x
  3. Step 3: Cross multiply
    970.46x = 1,448.10 × 853.82
  4. Step 4: Simplify right side
    970.46x = 1,236,416.74
  5. Step 5: Solve for x
    x = 1,236,416.74/970.46
  6. Step 6: Final answer
    x = 1,274.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.