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Finding the Fourth Proportional to 1,017.40, 1,526.06 and 401.08

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Solution

The fourth proportional to 1,017.40, 1,526.06 and 401.08 is: 601.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.40 : 1,526.06 = 401.08 : x
  2. Step 2: Convert to fraction form
    1,017.40/1,526.06 = 401.08/x
  3. Step 3: Cross multiply
    1,017.40x = 1,526.06 × 401.08
  4. Step 4: Simplify right side
    1,017.40x = 612,072.14
  5. Step 5: Solve for x
    x = 612,072.14/1,017.40
  6. Step 6: Final answer
    x = 601.60

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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.