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Finding the Fourth Proportional to 714.07, 1,071.06 and 302.95

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Solution

The fourth proportional to 714.07, 1,071.06 and 302.95 is: 454.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.07 : 1,071.06 = 302.95 : x
  2. Step 2: Convert to fraction form
    714.07/1,071.06 = 302.95/x
  3. Step 3: Cross multiply
    714.07x = 1,071.06 × 302.95
  4. Step 4: Simplify right side
    714.07x = 324,477.63
  5. Step 5: Solve for x
    x = 324,477.63/714.07
  6. Step 6: Final answer
    x = 454.41

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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.