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Finding the Fourth Proportional to 489.95, 730.80 and 455.93

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Solution

The fourth proportional to 489.95, 730.80 and 455.93 is: 680.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.95 : 730.80 = 455.93 : x
  2. Step 2: Convert to fraction form
    489.95/730.80 = 455.93/x
  3. Step 3: Cross multiply
    489.95x = 730.80 × 455.93
  4. Step 4: Simplify right side
    489.95x = 333,191.36
  5. Step 5: Solve for x
    x = 333,191.36/489.95
  6. Step 6: Final answer
    x = 680.05

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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.