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Finding the Fourth Proportional to 678.84, 931.95 and 612.96

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Solution

The fourth proportional to 678.84, 931.95 and 612.96 is: 841.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.84 : 931.95 = 612.96 : x
  2. Step 2: Convert to fraction form
    678.84/931.95 = 612.96/x
  3. Step 3: Cross multiply
    678.84x = 931.95 × 612.96
  4. Step 4: Simplify right side
    678.84x = 571,248.07
  5. Step 5: Solve for x
    x = 571,248.07/678.84
  6. Step 6: Final answer
    x = 841.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.