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Finding the Fourth Proportional to 981.48, 1,355.63 and 715.50

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Solution

The fourth proportional to 981.48, 1,355.63 and 715.50 is: 988.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.48 : 1,355.63 = 715.50 : x
  2. Step 2: Convert to fraction form
    981.48/1,355.63 = 715.50/x
  3. Step 3: Cross multiply
    981.48x = 1,355.63 × 715.50
  4. Step 4: Simplify right side
    981.48x = 969,953.27
  5. Step 5: Solve for x
    x = 969,953.27/981.48
  6. Step 6: Final answer
    x = 988.26

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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.