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Finding the Fourth Proportional to 1,303.61, 1,955.64 and 426.32

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Solution

The fourth proportional to 1,303.61, 1,955.64 and 426.32 is: 639.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.61 : 1,955.64 = 426.32 : x
  2. Step 2: Convert to fraction form
    1,303.61/1,955.64 = 426.32/x
  3. Step 3: Cross multiply
    1,303.61x = 1,955.64 × 426.32
  4. Step 4: Simplify right side
    1,303.61x = 833,728.44
  5. Step 5: Solve for x
    x = 833,728.44/1,303.61
  6. Step 6: Final answer
    x = 639.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.