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Finding the Fourth Proportional to 1,582.71, 2,373.74 and 486.81

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Solution

The fourth proportional to 1,582.71, 2,373.74 and 486.81 is: 730.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.71 : 2,373.74 = 486.81 : x
  2. Step 2: Convert to fraction form
    1,582.71/2,373.74 = 486.81/x
  3. Step 3: Cross multiply
    1,582.71x = 2,373.74 × 486.81
  4. Step 4: Simplify right side
    1,582.71x = 1,155,559.76
  5. Step 5: Solve for x
    x = 1,155,559.76/1,582.71
  6. Step 6: Final answer
    x = 730.12

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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.