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Finding the Fourth Proportional to 1,750.77, 2,416.05 and 964.83

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Solution

The fourth proportional to 1,750.77, 2,416.05 and 964.83 is: 1,331.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.77 : 2,416.05 = 964.83 : x
  2. Step 2: Convert to fraction form
    1,750.77/2,416.05 = 964.83/x
  3. Step 3: Cross multiply
    1,750.77x = 2,416.05 × 964.83
  4. Step 4: Simplify right side
    1,750.77x = 2,331,077.52
  5. Step 5: Solve for x
    x = 2,331,077.52/1,750.77
  6. Step 6: Final answer
    x = 1,331.46

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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.