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Finding the Fourth Proportional to 624.45, 856.59 and 587.19

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Solution

The fourth proportional to 624.45, 856.59 and 587.19 is: 805.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.45 : 856.59 = 587.19 : x
  2. Step 2: Convert to fraction form
    624.45/856.59 = 587.19/x
  3. Step 3: Cross multiply
    624.45x = 856.59 × 587.19
  4. Step 4: Simplify right side
    624.45x = 502,981.08
  5. Step 5: Solve for x
    x = 502,981.08/624.45
  6. Step 6: Final answer
    x = 805.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.