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Finding the Fourth Proportional to 718.10, 1,075.63 and 328.43

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Solution

The fourth proportional to 718.10, 1,075.63 and 328.43 is: 491.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.10 : 1,075.63 = 328.43 : x
  2. Step 2: Convert to fraction form
    718.10/1,075.63 = 328.43/x
  3. Step 3: Cross multiply
    718.10x = 1,075.63 × 328.43
  4. Step 4: Simplify right side
    718.10x = 353,266.26
  5. Step 5: Solve for x
    x = 353,266.26/718.10
  6. Step 6: Final answer
    x = 491.95

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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.