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Finding the Fourth Proportional to 760.30, 1,140.24 and 297.75

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Solution

The fourth proportional to 760.30, 1,140.24 and 297.75 is: 446.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.30 : 1,140.24 = 297.75 : x
  2. Step 2: Convert to fraction form
    760.30/1,140.24 = 297.75/x
  3. Step 3: Cross multiply
    760.30x = 1,140.24 × 297.75
  4. Step 4: Simplify right side
    760.30x = 339,506.46
  5. Step 5: Solve for x
    x = 339,506.46/760.30
  6. Step 6: Final answer
    x = 446.54

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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.