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Finding the Fourth Proportional to 714.93, 1,071.93 and 470.72

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Solution

The fourth proportional to 714.93, 1,071.93 and 470.72 is: 705.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.93 : 1,071.93 = 470.72 : x
  2. Step 2: Convert to fraction form
    714.93/1,071.93 = 470.72/x
  3. Step 3: Cross multiply
    714.93x = 1,071.93 × 470.72
  4. Step 4: Simplify right side
    714.93x = 504,573.53
  5. Step 5: Solve for x
    x = 504,573.53/714.93
  6. Step 6: Final answer
    x = 705.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.