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Finding the Fourth Proportional to 964.16, 1,330.53 and 571.19

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Solution

The fourth proportional to 964.16, 1,330.53 and 571.19 is: 788.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.16 : 1,330.53 = 571.19 : x
  2. Step 2: Convert to fraction form
    964.16/1,330.53 = 571.19/x
  3. Step 3: Cross multiply
    964.16x = 1,330.53 × 571.19
  4. Step 4: Simplify right side
    964.16x = 759,985.43
  5. Step 5: Solve for x
    x = 759,985.43/964.16
  6. Step 6: Final answer
    x = 788.24

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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.