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Finding the Fourth Proportional to 1,303.23, 1,953.62 and 436.94

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Solution

The fourth proportional to 1,303.23, 1,953.62 and 436.94 is: 655.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.23 : 1,953.62 = 436.94 : x
  2. Step 2: Convert to fraction form
    1,303.23/1,953.62 = 436.94/x
  3. Step 3: Cross multiply
    1,303.23x = 1,953.62 × 436.94
  4. Step 4: Simplify right side
    1,303.23x = 853,614.72
  5. Step 5: Solve for x
    x = 853,614.72/1,303.23
  6. Step 6: Final answer
    x = 655.00

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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.