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Finding the Fourth Proportional to 1,345.13, 1,856.48 and 821.46

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Solution

The fourth proportional to 1,345.13, 1,856.48 and 821.46 is: 1,133.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.13 : 1,856.48 = 821.46 : x
  2. Step 2: Convert to fraction form
    1,345.13/1,856.48 = 821.46/x
  3. Step 3: Cross multiply
    1,345.13x = 1,856.48 × 821.46
  4. Step 4: Simplify right side
    1,345.13x = 1,525,019.95
  5. Step 5: Solve for x
    x = 1,525,019.95/1,345.13
  6. Step 6: Final answer
    x = 1,133.74

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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.