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Finding the Fourth Proportional to 624.10, 936.15 and 583.60

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Solution

The fourth proportional to 624.10, 936.15 and 583.60 is: 875.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.10 : 936.15 = 583.60 : x
  2. Step 2: Convert to fraction form
    624.10/936.15 = 583.60/x
  3. Step 3: Cross multiply
    624.10x = 936.15 × 583.60
  4. Step 4: Simplify right side
    624.10x = 546,337.14
  5. Step 5: Solve for x
    x = 546,337.14/624.10
  6. Step 6: Final answer
    x = 875.40

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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.