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Finding the Fourth Proportional to 1,140.21, 1,709.12 and 646.00

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Solution

The fourth proportional to 1,140.21, 1,709.12 and 646.00 is: 968.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.21 : 1,709.12 = 646.00 : x
  2. Step 2: Convert to fraction form
    1,140.21/1,709.12 = 646.00/x
  3. Step 3: Cross multiply
    1,140.21x = 1,709.12 × 646.00
  4. Step 4: Simplify right side
    1,140.21x = 1,104,088.86
  5. Step 5: Solve for x
    x = 1,104,088.86/1,140.21
  6. Step 6: Final answer
    x = 968.32

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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.