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Finding the Fourth Proportional to 1,390.05, 2,085.03 and 568.10

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Solution

The fourth proportional to 1,390.05, 2,085.03 and 568.10 is: 852.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.05 : 2,085.03 = 568.10 : x
  2. Step 2: Convert to fraction form
    1,390.05/2,085.03 = 568.10/x
  3. Step 3: Cross multiply
    1,390.05x = 2,085.03 × 568.10
  4. Step 4: Simplify right side
    1,390.05x = 1,184,510.76
  5. Step 5: Solve for x
    x = 1,184,510.76/1,390.05
  6. Step 6: Final answer
    x = 852.14

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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.