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Finding the Fourth Proportional to 988.17, 1,360.55 and 870.06

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Solution

The fourth proportional to 988.17, 1,360.55 and 870.06 is: 1,197.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.17 : 1,360.55 = 870.06 : x
  2. Step 2: Convert to fraction form
    988.17/1,360.55 = 870.06/x
  3. Step 3: Cross multiply
    988.17x = 1,360.55 × 870.06
  4. Step 4: Simplify right side
    988.17x = 1,183,754.86
  5. Step 5: Solve for x
    x = 1,183,754.86/988.17
  6. Step 6: Final answer
    x = 1,197.93

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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.