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Finding the Fourth Proportional to 798.95, 1,102.23 and 589.63

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Solution

The fourth proportional to 798.95, 1,102.23 and 589.63 is: 813.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.95 : 1,102.23 = 589.63 : x
  2. Step 2: Convert to fraction form
    798.95/1,102.23 = 589.63/x
  3. Step 3: Cross multiply
    798.95x = 1,102.23 × 589.63
  4. Step 4: Simplify right side
    798.95x = 649,902.36
  5. Step 5: Solve for x
    x = 649,902.36/798.95
  6. Step 6: Final answer
    x = 813.45

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1.5x scale

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.