Home / 1,612.20-2,417.58-457.68

Finding the Fourth Proportional to 1,612.20, 2,417.58 and 457.68

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Solution

The fourth proportional to 1,612.20, 2,417.58 and 457.68 is: 686.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.20 : 2,417.58 = 457.68 : x
  2. Step 2: Convert to fraction form
    1,612.20/2,417.58 = 457.68/x
  3. Step 3: Cross multiply
    1,612.20x = 2,417.58 × 457.68
  4. Step 4: Simplify right side
    1,612.20x = 1,106,478.01
  5. Step 5: Solve for x
    x = 1,106,478.01/1,612.20
  6. Step 6: Final answer
    x = 686.32

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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.