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Finding the Fourth Proportional to 740.76, 1,111.95 and 416.76

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Solution

The fourth proportional to 740.76, 1,111.95 and 416.76 is: 625.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.76 : 1,111.95 = 416.76 : x
  2. Step 2: Convert to fraction form
    740.76/1,111.95 = 416.76/x
  3. Step 3: Cross multiply
    740.76x = 1,111.95 × 416.76
  4. Step 4: Simplify right side
    740.76x = 463,416.28
  5. Step 5: Solve for x
    x = 463,416.28/740.76
  6. Step 6: Final answer
    x = 625.60

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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.