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Finding the Fourth Proportional to 714.13, 985.15 and 448.90

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Solution

The fourth proportional to 714.13, 985.15 and 448.90 is: 619.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.13 : 985.15 = 448.90 : x
  2. Step 2: Convert to fraction form
    714.13/985.15 = 448.90/x
  3. Step 3: Cross multiply
    714.13x = 985.15 × 448.90
  4. Step 4: Simplify right side
    714.13x = 442,231.93
  5. Step 5: Solve for x
    x = 442,231.93/714.13
  6. Step 6: Final answer
    x = 619.26

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1.5x scale

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.