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Finding the Fourth Proportional to 973.22, 1,460.55 and 783.14

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Solution

The fourth proportional to 973.22, 1,460.55 and 783.14 is: 1,175.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.22 : 1,460.55 = 783.14 : x
  2. Step 2: Convert to fraction form
    973.22/1,460.55 = 783.14/x
  3. Step 3: Cross multiply
    973.22x = 1,460.55 × 783.14
  4. Step 4: Simplify right side
    973.22x = 1,143,815.13
  5. Step 5: Solve for x
    x = 1,143,815.13/973.22
  6. Step 6: Final answer
    x = 1,175.29

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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.