Home / 1,024.04-1,413.18-558.29

Finding the Fourth Proportional to 1,024.04, 1,413.18 and 558.29

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Solution

The fourth proportional to 1,024.04, 1,413.18 and 558.29 is: 770.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.04 : 1,413.18 = 558.29 : x
  2. Step 2: Convert to fraction form
    1,024.04/1,413.18 = 558.29/x
  3. Step 3: Cross multiply
    1,024.04x = 1,413.18 × 558.29
  4. Step 4: Simplify right side
    1,024.04x = 788,964.26
  5. Step 5: Solve for x
    x = 788,964.26/1,024.04
  6. Step 6: Final answer
    x = 770.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.