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Finding the Fourth Proportional to 1,070.21, 1,605.36 and 485.10

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Solution

The fourth proportional to 1,070.21, 1,605.36 and 485.10 is: 727.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.21 : 1,605.36 = 485.10 : x
  2. Step 2: Convert to fraction form
    1,070.21/1,605.36 = 485.10/x
  3. Step 3: Cross multiply
    1,070.21x = 1,605.36 × 485.10
  4. Step 4: Simplify right side
    1,070.21x = 778,760.14
  5. Step 5: Solve for x
    x = 778,760.14/1,070.21
  6. Step 6: Final answer
    x = 727.67

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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.