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Finding the Fourth Proportional to 715.49, 1,075.03 and 455.62

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Solution

The fourth proportional to 715.49, 1,075.03 and 455.62 is: 684.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.49 : 1,075.03 = 455.62 : x
  2. Step 2: Convert to fraction form
    715.49/1,075.03 = 455.62/x
  3. Step 3: Cross multiply
    715.49x = 1,075.03 × 455.62
  4. Step 4: Simplify right side
    715.49x = 489,805.17
  5. Step 5: Solve for x
    x = 489,805.17/715.49
  6. Step 6: Final answer
    x = 684.57

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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.