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Finding the Fourth Proportional to 2,303.76, 3,455.66 and 572.39

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Solution

The fourth proportional to 2,303.76, 3,455.66 and 572.39 is: 858.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.76 : 3,455.66 = 572.39 : x
  2. Step 2: Convert to fraction form
    2,303.76/3,455.66 = 572.39/x
  3. Step 3: Cross multiply
    2,303.76x = 3,455.66 × 572.39
  4. Step 4: Simplify right side
    2,303.76x = 1,977,969.38
  5. Step 5: Solve for x
    x = 1,977,969.38/2,303.76
  6. Step 6: Final answer
    x = 858.58

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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.