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Finding the Fourth Proportional to 1,075.57, 1,613.63 and 528.01

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Solution

The fourth proportional to 1,075.57, 1,613.63 and 528.01 is: 792.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.57 : 1,613.63 = 528.01 : x
  2. Step 2: Convert to fraction form
    1,075.57/1,613.63 = 528.01/x
  3. Step 3: Cross multiply
    1,075.57x = 1,613.63 × 528.01
  4. Step 4: Simplify right side
    1,075.57x = 852,010.14
  5. Step 5: Solve for x
    x = 852,010.14/1,075.57
  6. Step 6: Final answer
    x = 792.15

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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.