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Finding the Fourth Proportional to 1,345.91, 1,859.00 and 1,302.84

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Solution

The fourth proportional to 1,345.91, 1,859.00 and 1,302.84 is: 1,799.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.91 : 1,859.00 = 1,302.84 : x
  2. Step 2: Convert to fraction form
    1,345.91/1,859.00 = 1,302.84/x
  3. Step 3: Cross multiply
    1,345.91x = 1,859.00 × 1,302.84
  4. Step 4: Simplify right side
    1,345.91x = 2,421,973.05
  5. Step 5: Solve for x
    x = 2,421,973.05/1,345.91
  6. Step 6: Final answer
    x = 1,799.51

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.