Home / 1,156.68-1,590.84-923.40

Finding the Fourth Proportional to 1,156.68, 1,590.84 and 923.40

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Solution

The fourth proportional to 1,156.68, 1,590.84 and 923.40 is: 1,270.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.68 : 1,590.84 = 923.40 : x
  2. Step 2: Convert to fraction form
    1,156.68/1,590.84 = 923.40/x
  3. Step 3: Cross multiply
    1,156.68x = 1,590.84 × 923.40
  4. Step 4: Simplify right side
    1,156.68x = 1,468,981.66
  5. Step 5: Solve for x
    x = 1,468,981.66/1,156.68
  6. Step 6: Final answer
    x = 1,270.00

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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.