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Finding the Fourth Proportional to 945.09, 1,302.57 and 646.11

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Solution

The fourth proportional to 945.09, 1,302.57 and 646.11 is: 890.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.09 : 1,302.57 = 646.11 : x
  2. Step 2: Convert to fraction form
    945.09/1,302.57 = 646.11/x
  3. Step 3: Cross multiply
    945.09x = 1,302.57 × 646.11
  4. Step 4: Simplify right side
    945.09x = 841,603.50
  5. Step 5: Solve for x
    x = 841,603.50/945.09
  6. Step 6: Final answer
    x = 890.50

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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.