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Finding the Fourth Proportional to 954.02, 1,316.51 and 540.02

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Solution

The fourth proportional to 954.02, 1,316.51 and 540.02 is: 745.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.02 : 1,316.51 = 540.02 : x
  2. Step 2: Convert to fraction form
    954.02/1,316.51 = 540.02/x
  3. Step 3: Cross multiply
    954.02x = 1,316.51 × 540.02
  4. Step 4: Simplify right side
    954.02x = 710,941.73
  5. Step 5: Solve for x
    x = 710,941.73/954.02
  6. Step 6: Final answer
    x = 745.21

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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.