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Finding the Fourth Proportional to 1,046.84, 1,444.12 and 693.40

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Solution

The fourth proportional to 1,046.84, 1,444.12 and 693.40 is: 956.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.84 : 1,444.12 = 693.40 : x
  2. Step 2: Convert to fraction form
    1,046.84/1,444.12 = 693.40/x
  3. Step 3: Cross multiply
    1,046.84x = 1,444.12 × 693.40
  4. Step 4: Simplify right side
    1,046.84x = 1,001,352.81
  5. Step 5: Solve for x
    x = 1,001,352.81/1,046.84
  6. Step 6: Final answer
    x = 956.55

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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.