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Finding the Fourth Proportional to 714.01, 985.12 and 419.29

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Solution

The fourth proportional to 714.01, 985.12 and 419.29 is: 578.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.01 : 985.12 = 419.29 : x
  2. Step 2: Convert to fraction form
    714.01/985.12 = 419.29/x
  3. Step 3: Cross multiply
    714.01x = 985.12 × 419.29
  4. Step 4: Simplify right side
    714.01x = 413,050.96
  5. Step 5: Solve for x
    x = 413,050.96/714.01
  6. Step 6: Final answer
    x = 578.49

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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.