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Finding the Fourth Proportional to 631.39, 946.40 and 554.16

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Solution

The fourth proportional to 631.39, 946.40 and 554.16 is: 830.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.39 : 946.40 = 554.16 : x
  2. Step 2: Convert to fraction form
    631.39/946.40 = 554.16/x
  3. Step 3: Cross multiply
    631.39x = 946.40 × 554.16
  4. Step 4: Simplify right side
    631.39x = 524,457.02
  5. Step 5: Solve for x
    x = 524,457.02/631.39
  6. Step 6: Final answer
    x = 830.64

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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.