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Finding the Fourth Proportional to 693.06, 1,038.78 and 307.50

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Solution

The fourth proportional to 693.06, 1,038.78 and 307.50 is: 460.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.06 : 1,038.78 = 307.50 : x
  2. Step 2: Convert to fraction form
    693.06/1,038.78 = 307.50/x
  3. Step 3: Cross multiply
    693.06x = 1,038.78 × 307.50
  4. Step 4: Simplify right side
    693.06x = 319,424.85
  5. Step 5: Solve for x
    x = 319,424.85/693.06
  6. Step 6: Final answer
    x = 460.89

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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.