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Finding the Fourth Proportional to 970.98, 1,342.54 and 847.96

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Solution

The fourth proportional to 970.98, 1,342.54 and 847.96 is: 1,172.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.98 : 1,342.54 = 847.96 : x
  2. Step 2: Convert to fraction form
    970.98/1,342.54 = 847.96/x
  3. Step 3: Cross multiply
    970.98x = 1,342.54 × 847.96
  4. Step 4: Simplify right side
    970.98x = 1,138,420.22
  5. Step 5: Solve for x
    x = 1,138,420.22/970.98
  6. Step 6: Final answer
    x = 1,172.44

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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.