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Finding the Fourth Proportional to 1,165.58, 1,607.31 and 772.46

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Solution

The fourth proportional to 1,165.58, 1,607.31 and 772.46 is: 1,065.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.58 : 1,607.31 = 772.46 : x
  2. Step 2: Convert to fraction form
    1,165.58/1,607.31 = 772.46/x
  3. Step 3: Cross multiply
    1,165.58x = 1,607.31 × 772.46
  4. Step 4: Simplify right side
    1,165.58x = 1,241,582.68
  5. Step 5: Solve for x
    x = 1,241,582.68/1,165.58
  6. Step 6: Final answer
    x = 1,065.21

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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.