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Finding the Fourth Proportional to 464.51, 693.39 and 413.02

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Solution

The fourth proportional to 464.51, 693.39 and 413.02 is: 616.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.51 : 693.39 = 413.02 : x
  2. Step 2: Convert to fraction form
    464.51/693.39 = 413.02/x
  3. Step 3: Cross multiply
    464.51x = 693.39 × 413.02
  4. Step 4: Simplify right side
    464.51x = 286,384.82
  5. Step 5: Solve for x
    x = 286,384.82/464.51
  6. Step 6: Final answer
    x = 616.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.