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Finding the Fourth Proportional to 709.42, 1,059.35 and 579.68

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Solution

The fourth proportional to 709.42, 1,059.35 and 579.68 is: 865.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.42 : 1,059.35 = 579.68 : x
  2. Step 2: Convert to fraction form
    709.42/1,059.35 = 579.68/x
  3. Step 3: Cross multiply
    709.42x = 1,059.35 × 579.68
  4. Step 4: Simplify right side
    709.42x = 614,075.81
  5. Step 5: Solve for x
    x = 614,075.81/709.42
  6. Step 6: Final answer
    x = 865.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.