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Finding the Fourth Proportional to 566.60, 780.12 and 500.18

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Solution

The fourth proportional to 566.60, 780.12 and 500.18 is: 688.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.60 : 780.12 = 500.18 : x
  2. Step 2: Convert to fraction form
    566.60/780.12 = 500.18/x
  3. Step 3: Cross multiply
    566.60x = 780.12 × 500.18
  4. Step 4: Simplify right side
    566.60x = 390,200.42
  5. Step 5: Solve for x
    x = 390,200.42/566.60
  6. Step 6: Final answer
    x = 688.67

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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.