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Finding the Fourth Proportional to 970.98, 1,461.70 and 884.86

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Solution

The fourth proportional to 970.98, 1,461.70 and 884.86 is: 1,332.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.98 : 1,461.70 = 884.86 : x
  2. Step 2: Convert to fraction form
    970.98/1,461.70 = 884.86/x
  3. Step 3: Cross multiply
    970.98x = 1,461.70 × 884.86
  4. Step 4: Simplify right side
    970.98x = 1,293,399.86
  5. Step 5: Solve for x
    x = 1,293,399.86/970.98
  6. Step 6: Final answer
    x = 1,332.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.