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Finding the Fourth Proportional to 1,303.80, 1,955.70 and 438.72

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Solution

The fourth proportional to 1,303.80, 1,955.70 and 438.72 is: 658.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.80 : 1,955.70 = 438.72 : x
  2. Step 2: Convert to fraction form
    1,303.80/1,955.70 = 438.72/x
  3. Step 3: Cross multiply
    1,303.80x = 1,955.70 × 438.72
  4. Step 4: Simplify right side
    1,303.80x = 858,002.51
  5. Step 5: Solve for x
    x = 858,002.51/1,303.80
  6. Step 6: Final answer
    x = 658.08

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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.