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Finding the Fourth Proportional to 959.64, 1,427.94 and 956.40

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Solution

The fourth proportional to 959.64, 1,427.94 and 956.40 is: 1,423.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.64 : 1,427.94 = 956.40 : x
  2. Step 2: Convert to fraction form
    959.64/1,427.94 = 956.40/x
  3. Step 3: Cross multiply
    959.64x = 1,427.94 × 956.40
  4. Step 4: Simplify right side
    959.64x = 1,365,681.82
  5. Step 5: Solve for x
    x = 1,365,681.82/959.64
  6. Step 6: Final answer
    x = 1,423.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.