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Finding the Fourth Proportional to 583.65, 805.59 and 347.64

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Solution

The fourth proportional to 583.65, 805.59 and 347.64 is: 479.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.65 : 805.59 = 347.64 : x
  2. Step 2: Convert to fraction form
    583.65/805.59 = 347.64/x
  3. Step 3: Cross multiply
    583.65x = 805.59 × 347.64
  4. Step 4: Simplify right side
    583.65x = 280,055.31
  5. Step 5: Solve for x
    x = 280,055.31/583.65
  6. Step 6: Final answer
    x = 479.83

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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.