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Finding the Fourth Proportional to 1,714.10, 2,569.80 and 739.40

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Solution

The fourth proportional to 1,714.10, 2,569.80 and 739.40 is: 1,108.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.10 : 2,569.80 = 739.40 : x
  2. Step 2: Convert to fraction form
    1,714.10/2,569.80 = 739.40/x
  3. Step 3: Cross multiply
    1,714.10x = 2,569.80 × 739.40
  4. Step 4: Simplify right side
    1,714.10x = 1,900,110.12
  5. Step 5: Solve for x
    x = 1,900,110.12/1,714.10
  6. Step 6: Final answer
    x = 1,108.52

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1.5x scale

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.