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Finding the Fourth Proportional to 1,068.55, 1,602.97 and 520.28

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Solution

The fourth proportional to 1,068.55, 1,602.97 and 520.28 is: 780.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.55 : 1,602.97 = 520.28 : x
  2. Step 2: Convert to fraction form
    1,068.55/1,602.97 = 520.28/x
  3. Step 3: Cross multiply
    1,068.55x = 1,602.97 × 520.28
  4. Step 4: Simplify right side
    1,068.55x = 833,993.23
  5. Step 5: Solve for x
    x = 833,993.23/1,068.55
  6. Step 6: Final answer
    x = 780.49

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1.5x scale

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.