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Finding the Fourth Proportional to 929.34, 1,387.80 and 899.64

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Solution

The fourth proportional to 929.34, 1,387.80 and 899.64 is: 1,343.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.34 : 1,387.80 = 899.64 : x
  2. Step 2: Convert to fraction form
    929.34/1,387.80 = 899.64/x
  3. Step 3: Cross multiply
    929.34x = 1,387.80 × 899.64
  4. Step 4: Simplify right side
    929.34x = 1,248,520.39
  5. Step 5: Solve for x
    x = 1,248,520.39/929.34
  6. Step 6: Final answer
    x = 1,343.45

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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.