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Finding the Fourth Proportional to 783.15, 1,168.64 and 714.18

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Solution

The fourth proportional to 783.15, 1,168.64 and 714.18 is: 1,065.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.15 : 1,168.64 = 714.18 : x
  2. Step 2: Convert to fraction form
    783.15/1,168.64 = 714.18/x
  3. Step 3: Cross multiply
    783.15x = 1,168.64 × 714.18
  4. Step 4: Simplify right side
    783.15x = 834,615.74
  5. Step 5: Solve for x
    x = 834,615.74/783.15
  6. Step 6: Final answer
    x = 1,065.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.