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Finding the Fourth Proportional to 1,151.64, 1,588.10 and 986.40

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Solution

The fourth proportional to 1,151.64, 1,588.10 and 986.40 is: 1,360.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.64 : 1,588.10 = 986.40 : x
  2. Step 2: Convert to fraction form
    1,151.64/1,588.10 = 986.40/x
  3. Step 3: Cross multiply
    1,151.64x = 1,588.10 × 986.40
  4. Step 4: Simplify right side
    1,151.64x = 1,566,501.84
  5. Step 5: Solve for x
    x = 1,566,501.84/1,151.64
  6. Step 6: Final answer
    x = 1,360.24

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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.