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Finding the Fourth Proportional to 718.70, 1,075.62 and 597.20

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Solution

The fourth proportional to 718.70, 1,075.62 and 597.20 is: 893.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.70 : 1,075.62 = 597.20 : x
  2. Step 2: Convert to fraction form
    718.70/1,075.62 = 597.20/x
  3. Step 3: Cross multiply
    718.70x = 1,075.62 × 597.20
  4. Step 4: Simplify right side
    718.70x = 642,360.26
  5. Step 5: Solve for x
    x = 642,360.26/718.70
  6. Step 6: Final answer
    x = 893.78

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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.