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Finding the Fourth Proportional to 631.80, 953.10 and 599.40

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Solution

The fourth proportional to 631.80, 953.10 and 599.40 is: 904.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.80 : 953.10 = 599.40 : x
  2. Step 2: Convert to fraction form
    631.80/953.10 = 599.40/x
  3. Step 3: Cross multiply
    631.80x = 953.10 × 599.40
  4. Step 4: Simplify right side
    631.80x = 571,288.14
  5. Step 5: Solve for x
    x = 571,288.14/631.80
  6. Step 6: Final answer
    x = 904.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.