Home / 1,690.12-2,534.95-457.61

Finding the Fourth Proportional to 1,690.12, 2,534.95 and 457.61

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Solution

The fourth proportional to 1,690.12, 2,534.95 and 457.61 is: 686.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.12 : 2,534.95 = 457.61 : x
  2. Step 2: Convert to fraction form
    1,690.12/2,534.95 = 457.61/x
  3. Step 3: Cross multiply
    1,690.12x = 2,534.95 × 457.61
  4. Step 4: Simplify right side
    1,690.12x = 1,160,018.47
  5. Step 5: Solve for x
    x = 1,160,018.47/1,690.12
  6. Step 6: Final answer
    x = 686.35

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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.