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Finding the Fourth Proportional to 970.84, 1,336.26 and 897.94

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Solution

The fourth proportional to 970.84, 1,336.26 and 897.94 is: 1,235.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.84 : 1,336.26 = 897.94 : x
  2. Step 2: Convert to fraction form
    970.84/1,336.26 = 897.94/x
  3. Step 3: Cross multiply
    970.84x = 1,336.26 × 897.94
  4. Step 4: Simplify right side
    970.84x = 1,199,881.30
  5. Step 5: Solve for x
    x = 1,199,881.30/970.84
  6. Step 6: Final answer
    x = 1,235.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.