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Finding the Fourth Proportional to 1,025.37, 1,413.99 and 632.07

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Solution

The fourth proportional to 1,025.37, 1,413.99 and 632.07 is: 871.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.37 : 1,413.99 = 632.07 : x
  2. Step 2: Convert to fraction form
    1,025.37/1,413.99 = 632.07/x
  3. Step 3: Cross multiply
    1,025.37x = 1,413.99 × 632.07
  4. Step 4: Simplify right side
    1,025.37x = 893,740.66
  5. Step 5: Solve for x
    x = 893,740.66/1,025.37
  6. Step 6: Final answer
    x = 871.63

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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.