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Finding the Fourth Proportional to 956.07, 1,319.36 and 536.42

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Solution

The fourth proportional to 956.07, 1,319.36 and 536.42 is: 740.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.07 : 1,319.36 = 536.42 : x
  2. Step 2: Convert to fraction form
    956.07/1,319.36 = 536.42/x
  3. Step 3: Cross multiply
    956.07x = 1,319.36 × 536.42
  4. Step 4: Simplify right side
    956.07x = 707,731.71
  5. Step 5: Solve for x
    x = 707,731.71/956.07
  6. Step 6: Final answer
    x = 740.25

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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.