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Finding the Fourth Proportional to 929.64, 1,271.90 and 925.77

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Solution

The fourth proportional to 929.64, 1,271.90 and 925.77 is: 1,266.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.64 : 1,271.90 = 925.77 : x
  2. Step 2: Convert to fraction form
    929.64/1,271.90 = 925.77/x
  3. Step 3: Cross multiply
    929.64x = 1,271.90 × 925.77
  4. Step 4: Simplify right side
    929.64x = 1,177,482.23
  5. Step 5: Solve for x
    x = 1,177,482.23/929.64
  6. Step 6: Final answer
    x = 1,266.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.