Home / 1,155.42-1,592.57-918.96

Finding the Fourth Proportional to 1,155.42, 1,592.57 and 918.96

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Solution

The fourth proportional to 1,155.42, 1,592.57 and 918.96 is: 1,266.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.42 : 1,592.57 = 918.96 : x
  2. Step 2: Convert to fraction form
    1,155.42/1,592.57 = 918.96/x
  3. Step 3: Cross multiply
    1,155.42x = 1,592.57 × 918.96
  4. Step 4: Simplify right side
    1,155.42x = 1,463,503.53
  5. Step 5: Solve for x
    x = 1,463,503.53/1,155.42
  6. Step 6: Final answer
    x = 1,266.64

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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.