Home / 1,284.17-1,925.76-462.23

Finding the Fourth Proportional to 1,284.17, 1,925.76 and 462.23

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Solution

The fourth proportional to 1,284.17, 1,925.76 and 462.23 is: 693.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.17 : 1,925.76 = 462.23 : x
  2. Step 2: Convert to fraction form
    1,284.17/1,925.76 = 462.23/x
  3. Step 3: Cross multiply
    1,284.17x = 1,925.76 × 462.23
  4. Step 4: Simplify right side
    1,284.17x = 890,144.04
  5. Step 5: Solve for x
    x = 890,144.04/1,284.17
  6. Step 6: Final answer
    x = 693.17

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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.