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Finding the Fourth Proportional to 1,337.77, 1,846.26 and 840.79

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Solution

The fourth proportional to 1,337.77, 1,846.26 and 840.79 is: 1,160.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.77 : 1,846.26 = 840.79 : x
  2. Step 2: Convert to fraction form
    1,337.77/1,846.26 = 840.79/x
  3. Step 3: Cross multiply
    1,337.77x = 1,846.26 × 840.79
  4. Step 4: Simplify right side
    1,337.77x = 1,552,303.51
  5. Step 5: Solve for x
    x = 1,552,303.51/1,337.77
  6. Step 6: Final answer
    x = 1,160.37

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1.5x scale

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.