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Finding the Fourth Proportional to 1,075.60, 1,486.20 and 852.16

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Solution

The fourth proportional to 1,075.60, 1,486.20 and 852.16 is: 1,177.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.60 : 1,486.20 = 852.16 : x
  2. Step 2: Convert to fraction form
    1,075.60/1,486.20 = 852.16/x
  3. Step 3: Cross multiply
    1,075.60x = 1,486.20 × 852.16
  4. Step 4: Simplify right side
    1,075.60x = 1,266,480.19
  5. Step 5: Solve for x
    x = 1,266,480.19/1,075.60
  6. Step 6: Final answer
    x = 1,177.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.