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Finding the Fourth Proportional to 1,585.06, 2,377.62 and 430.81

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Solution

The fourth proportional to 1,585.06, 2,377.62 and 430.81 is: 646.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.06 : 2,377.62 = 430.81 : x
  2. Step 2: Convert to fraction form
    1,585.06/2,377.62 = 430.81/x
  3. Step 3: Cross multiply
    1,585.06x = 2,377.62 × 430.81
  4. Step 4: Simplify right side
    1,585.06x = 1,024,296.53
  5. Step 5: Solve for x
    x = 1,024,296.53/1,585.06
  6. Step 6: Final answer
    x = 646.22

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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.