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Finding the Fourth Proportional to 623.70, 931.50 and 586.44

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Solution

The fourth proportional to 623.70, 931.50 and 586.44 is: 875.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.70 : 931.50 = 586.44 : x
  2. Step 2: Convert to fraction form
    623.70/931.50 = 586.44/x
  3. Step 3: Cross multiply
    623.70x = 931.50 × 586.44
  4. Step 4: Simplify right side
    623.70x = 546,268.86
  5. Step 5: Solve for x
    x = 546,268.86/623.70
  6. Step 6: Final answer
    x = 875.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.