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Finding the Fourth Proportional to 1,585.53, 2,378.66 and 598.77

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Solution

The fourth proportional to 1,585.53, 2,378.66 and 598.77 is: 898.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.53 : 2,378.66 = 598.77 : x
  2. Step 2: Convert to fraction form
    1,585.53/2,378.66 = 598.77/x
  3. Step 3: Cross multiply
    1,585.53x = 2,378.66 × 598.77
  4. Step 4: Simplify right side
    1,585.53x = 1,424,267.25
  5. Step 5: Solve for x
    x = 1,424,267.25/1,585.53
  6. Step 6: Final answer
    x = 898.29

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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.