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Finding the Fourth Proportional to 1,145, 1,714.62 and 623.40

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Solution

The fourth proportional to 1,145, 1,714.62 and 623.40 is: 933.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145 : 1,714.62 = 623.40 : x
  2. Step 2: Convert to fraction form
    1,145/1,714.62 = 623.40/x
  3. Step 3: Cross multiply
    1,145x = 1,714.62 × 623.40
  4. Step 4: Simplify right side
    1,145x = 1,068,894.11
  5. Step 5: Solve for x
    x = 1,068,894.11/1,145
  6. Step 6: Final answer
    x = 933.53

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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.