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Finding the Fourth Proportional to 583.70, 875.61 and 340.09

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Solution

The fourth proportional to 583.70, 875.61 and 340.09 is: 510.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.70 : 875.61 = 340.09 : x
  2. Step 2: Convert to fraction form
    583.70/875.61 = 340.09/x
  3. Step 3: Cross multiply
    583.70x = 875.61 × 340.09
  4. Step 4: Simplify right side
    583.70x = 297,784.02
  5. Step 5: Solve for x
    x = 297,784.02/583.70
  6. Step 6: Final answer
    x = 510.17

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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.