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Finding the Fourth Proportional to 1,130.68, 1,687.84 and 977.56

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Solution

The fourth proportional to 1,130.68, 1,687.84 and 977.56 is: 1,459.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.68 : 1,687.84 = 977.56 : x
  2. Step 2: Convert to fraction form
    1,130.68/1,687.84 = 977.56/x
  3. Step 3: Cross multiply
    1,130.68x = 1,687.84 × 977.56
  4. Step 4: Simplify right side
    1,130.68x = 1,649,964.87
  5. Step 5: Solve for x
    x = 1,649,964.87/1,130.68
  6. Step 6: Final answer
    x = 1,459.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.