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Finding the Fourth Proportional to 526.75, 790.44 and 307.69

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Solution

The fourth proportional to 526.75, 790.44 and 307.69 is: 461.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.75 : 790.44 = 307.69 : x
  2. Step 2: Convert to fraction form
    526.75/790.44 = 307.69/x
  3. Step 3: Cross multiply
    526.75x = 790.44 × 307.69
  4. Step 4: Simplify right side
    526.75x = 243,210.48
  5. Step 5: Solve for x
    x = 243,210.48/526.75
  6. Step 6: Final answer
    x = 461.72

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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.