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Finding the Fourth Proportional to 1,658.77, 2,487.59 and 836.52

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Solution

The fourth proportional to 1,658.77, 2,487.59 and 836.52 is: 1,254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.77 : 2,487.59 = 836.52 : x
  2. Step 2: Convert to fraction form
    1,658.77/2,487.59 = 836.52/x
  3. Step 3: Cross multiply
    1,658.77x = 2,487.59 × 836.52
  4. Step 4: Simplify right side
    1,658.77x = 2,080,918.79
  5. Step 5: Solve for x
    x = 2,080,918.79/1,658.77
  6. Step 6: Final answer
    x = 1,254.50

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1.5x scale

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.