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Finding the Fourth Proportional to 747.06, 1,030.66 and 452.22

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Solution

The fourth proportional to 747.06, 1,030.66 and 452.22 is: 623.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.06 : 1,030.66 = 452.22 : x
  2. Step 2: Convert to fraction form
    747.06/1,030.66 = 452.22/x
  3. Step 3: Cross multiply
    747.06x = 1,030.66 × 452.22
  4. Step 4: Simplify right side
    747.06x = 466,085.07
  5. Step 5: Solve for x
    x = 466,085.07/747.06
  6. Step 6: Final answer
    x = 623.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.