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Finding the Fourth Proportional to 929.78, 1,400.08 and 688.02

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Solution

The fourth proportional to 929.78, 1,400.08 and 688.02 is: 1,036.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.78 : 1,400.08 = 688.02 : x
  2. Step 2: Convert to fraction form
    929.78/1,400.08 = 688.02/x
  3. Step 3: Cross multiply
    929.78x = 1,400.08 × 688.02
  4. Step 4: Simplify right side
    929.78x = 963,283.04
  5. Step 5: Solve for x
    x = 963,283.04/929.78
  6. Step 6: Final answer
    x = 1,036.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.