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Finding the Fourth Proportional to 1,133.77, 1,700.20 and 353.51

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Solution

The fourth proportional to 1,133.77, 1,700.20 and 353.51 is: 530.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.77 : 1,700.20 = 353.51 : x
  2. Step 2: Convert to fraction form
    1,133.77/1,700.20 = 353.51/x
  3. Step 3: Cross multiply
    1,133.77x = 1,700.20 × 353.51
  4. Step 4: Simplify right side
    1,133.77x = 601,035.93
  5. Step 5: Solve for x
    x = 601,035.93/1,133.77
  6. Step 6: Final answer
    x = 530.12

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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.