Home / 1,567.40-2,351.09-413.15

Finding the Fourth Proportional to 1,567.40, 2,351.09 and 413.15

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Solution

The fourth proportional to 1,567.40, 2,351.09 and 413.15 is: 619.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.40 : 2,351.09 = 413.15 : x
  2. Step 2: Convert to fraction form
    1,567.40/2,351.09 = 413.15/x
  3. Step 3: Cross multiply
    1,567.40x = 2,351.09 × 413.15
  4. Step 4: Simplify right side
    1,567.40x = 971,350.77
  5. Step 5: Solve for x
    x = 971,350.77/1,567.40
  6. Step 6: Final answer
    x = 619.72

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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.