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Finding the Fourth Proportional to 1,564.01, 2,345.25 and 783.68

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Solution

The fourth proportional to 1,564.01, 2,345.25 and 783.68 is: 1,175.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.01 : 2,345.25 = 783.68 : x
  2. Step 2: Convert to fraction form
    1,564.01/2,345.25 = 783.68/x
  3. Step 3: Cross multiply
    1,564.01x = 2,345.25 × 783.68
  4. Step 4: Simplify right side
    1,564.01x = 1,837,916.73
  5. Step 5: Solve for x
    x = 1,837,916.73/1,564.01
  6. Step 6: Final answer
    x = 1,175.13

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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.