Home / 1,056.81-1,582.83-509.40

Finding the Fourth Proportional to 1,056.81, 1,582.83 and 509.40

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Solution

The fourth proportional to 1,056.81, 1,582.83 and 509.40 is: 762.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.81 : 1,582.83 = 509.40 : x
  2. Step 2: Convert to fraction form
    1,056.81/1,582.83 = 509.40/x
  3. Step 3: Cross multiply
    1,056.81x = 1,582.83 × 509.40
  4. Step 4: Simplify right side
    1,056.81x = 806,293.60
  5. Step 5: Solve for x
    x = 806,293.60/1,056.81
  6. Step 6: Final answer
    x = 762.95

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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.