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Finding the Fourth Proportional to 623.70, 931.91 and 526.50

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Solution

The fourth proportional to 623.70, 931.91 and 526.50 is: 786.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.70 : 931.91 = 526.50 : x
  2. Step 2: Convert to fraction form
    623.70/931.91 = 526.50/x
  3. Step 3: Cross multiply
    623.70x = 931.91 × 526.50
  4. Step 4: Simplify right side
    623.70x = 490,647.98
  5. Step 5: Solve for x
    x = 490,647.98/623.70
  6. Step 6: Final answer
    x = 786.67

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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.