Home / 1,130.14-1,690.69-977.71

Finding the Fourth Proportional to 1,130.14, 1,690.69 and 977.71

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Solution

The fourth proportional to 1,130.14, 1,690.69 and 977.71 is: 1,462.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.14 : 1,690.69 = 977.71 : x
  2. Step 2: Convert to fraction form
    1,130.14/1,690.69 = 977.71/x
  3. Step 3: Cross multiply
    1,130.14x = 1,690.69 × 977.71
  4. Step 4: Simplify right side
    1,130.14x = 1,652,991.18
  5. Step 5: Solve for x
    x = 1,652,991.18/1,130.14
  6. Step 6: Final answer
    x = 1,462.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.