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Finding the Fourth Proportional to 1,304.42, 1,800.14 and 714.95

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Solution

The fourth proportional to 1,304.42, 1,800.14 and 714.95 is: 986.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.42 : 1,800.14 = 714.95 : x
  2. Step 2: Convert to fraction form
    1,304.42/1,800.14 = 714.95/x
  3. Step 3: Cross multiply
    1,304.42x = 1,800.14 × 714.95
  4. Step 4: Simplify right side
    1,304.42x = 1,287,018.42
  5. Step 5: Solve for x
    x = 1,287,018.42/1,304.42
  6. Step 6: Final answer
    x = 986.66

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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.