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Finding the Fourth Proportional to 1,709.39, 2,564.05 and 555.14

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Solution

The fourth proportional to 1,709.39, 2,564.05 and 555.14 is: 832.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.39 : 2,564.05 = 555.14 : x
  2. Step 2: Convert to fraction form
    1,709.39/2,564.05 = 555.14/x
  3. Step 3: Cross multiply
    1,709.39x = 2,564.05 × 555.14
  4. Step 4: Simplify right side
    1,709.39x = 1,423,406.72
  5. Step 5: Solve for x
    x = 1,423,406.72/1,709.39
  6. Step 6: Final answer
    x = 832.70

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Double scale
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Similar ratio
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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.