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Finding the Fourth Proportional to 459.95, 693.90 and 437.20

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Solution

The fourth proportional to 459.95, 693.90 and 437.20 is: 659.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.95 : 693.90 = 437.20 : x
  2. Step 2: Convert to fraction form
    459.95/693.90 = 437.20/x
  3. Step 3: Cross multiply
    459.95x = 693.90 × 437.20
  4. Step 4: Simplify right side
    459.95x = 303,371.35
  5. Step 5: Solve for x
    x = 303,371.35/459.95
  6. Step 6: Final answer
    x = 659.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.