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Finding the Fourth Proportional to 1,303.79, 1,955.67 and 523.99

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Solution

The fourth proportional to 1,303.79, 1,955.67 and 523.99 is: 785.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.79 : 1,955.67 = 523.99 : x
  2. Step 2: Convert to fraction form
    1,303.79/1,955.67 = 523.99/x
  3. Step 3: Cross multiply
    1,303.79x = 1,955.67 × 523.99
  4. Step 4: Simplify right side
    1,303.79x = 1,024,751.52
  5. Step 5: Solve for x
    x = 1,024,751.52/1,303.79
  6. Step 6: Final answer
    x = 785.98

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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.