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Finding the Fourth Proportional to 1,913.59, 2,870.64 and 597.43

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Solution

The fourth proportional to 1,913.59, 2,870.64 and 597.43 is: 896.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.59 : 2,870.64 = 597.43 : x
  2. Step 2: Convert to fraction form
    1,913.59/2,870.64 = 597.43/x
  3. Step 3: Cross multiply
    1,913.59x = 2,870.64 × 597.43
  4. Step 4: Simplify right side
    1,913.59x = 1,714,989.11
  5. Step 5: Solve for x
    x = 1,714,989.11/1,913.59
  6. Step 6: Final answer
    x = 896.22

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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.