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Finding the Fourth Proportional to 1,017.74, 1,526.62 and 287.26

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Solution

The fourth proportional to 1,017.74, 1,526.62 and 287.26 is: 430.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.74 : 1,526.62 = 287.26 : x
  2. Step 2: Convert to fraction form
    1,017.74/1,526.62 = 287.26/x
  3. Step 3: Cross multiply
    1,017.74x = 1,526.62 × 287.26
  4. Step 4: Simplify right side
    1,017.74x = 438,536.86
  5. Step 5: Solve for x
    x = 438,536.86/1,017.74
  6. Step 6: Final answer
    x = 430.89

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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.