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Finding the Fourth Proportional to 954.31, 1,430.59 and 491.05

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Solution

The fourth proportional to 954.31, 1,430.59 and 491.05 is: 736.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.31 : 1,430.59 = 491.05 : x
  2. Step 2: Convert to fraction form
    954.31/1,430.59 = 491.05/x
  3. Step 3: Cross multiply
    954.31x = 1,430.59 × 491.05
  4. Step 4: Simplify right side
    954.31x = 702,489.31
  5. Step 5: Solve for x
    x = 702,489.31/954.31
  6. Step 6: Final answer
    x = 736.13

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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.