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Finding the Fourth Proportional to 1,771.30, 2,656.95 and 846.64

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Solution

The fourth proportional to 1,771.30, 2,656.95 and 846.64 is: 1,269.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.30 : 2,656.95 = 846.64 : x
  2. Step 2: Convert to fraction form
    1,771.30/2,656.95 = 846.64/x
  3. Step 3: Cross multiply
    1,771.30x = 2,656.95 × 846.64
  4. Step 4: Simplify right side
    1,771.30x = 2,249,484.67
  5. Step 5: Solve for x
    x = 2,249,484.67/1,771.30
  6. Step 6: Final answer
    x = 1,269.97

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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.