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Finding the Fourth Proportional to 1,164.55, 1,746.78 and 287.06

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Solution

The fourth proportional to 1,164.55, 1,746.78 and 287.06 is: 430.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.55 : 1,746.78 = 287.06 : x
  2. Step 2: Convert to fraction form
    1,164.55/1,746.78 = 287.06/x
  3. Step 3: Cross multiply
    1,164.55x = 1,746.78 × 287.06
  4. Step 4: Simplify right side
    1,164.55x = 501,421.93
  5. Step 5: Solve for x
    x = 501,421.93/1,164.55
  6. Step 6: Final answer
    x = 430.57

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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.