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Finding the Fourth Proportional to 1,145.77, 1,718.65 and 415.34

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Solution

The fourth proportional to 1,145.77, 1,718.65 and 415.34 is: 623.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.77 : 1,718.65 = 415.34 : x
  2. Step 2: Convert to fraction form
    1,145.77/1,718.65 = 415.34/x
  3. Step 3: Cross multiply
    1,145.77x = 1,718.65 × 415.34
  4. Step 4: Simplify right side
    1,145.77x = 713,825.72
  5. Step 5: Solve for x
    x = 713,825.72/1,145.77
  6. Step 6: Final answer
    x = 623.01

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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.