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Finding the Fourth Proportional to 822.95, 1,134.98 and 706.01

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Solution

The fourth proportional to 822.95, 1,134.98 and 706.01 is: 973.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.95 : 1,134.98 = 706.01 : x
  2. Step 2: Convert to fraction form
    822.95/1,134.98 = 706.01/x
  3. Step 3: Cross multiply
    822.95x = 1,134.98 × 706.01
  4. Step 4: Simplify right side
    822.95x = 801,298.02
  5. Step 5: Solve for x
    x = 801,298.02/822.95
  6. Step 6: Final answer
    x = 973.69

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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.