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Finding the Fourth Proportional to 744.93, 1,117.80 and 312.12

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Solution

The fourth proportional to 744.93, 1,117.80 and 312.12 is: 468.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.93 : 1,117.80 = 312.12 : x
  2. Step 2: Convert to fraction form
    744.93/1,117.80 = 312.12/x
  3. Step 3: Cross multiply
    744.93x = 1,117.80 × 312.12
  4. Step 4: Simplify right side
    744.93x = 348,887.74
  5. Step 5: Solve for x
    x = 348,887.74/744.93
  6. Step 6: Final answer
    x = 468.35

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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.