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Finding the Fourth Proportional to 654.02, 975.40 and 557.14

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Solution

The fourth proportional to 654.02, 975.40 and 557.14 is: 830.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.02 : 975.40 = 557.14 : x
  2. Step 2: Convert to fraction form
    654.02/975.40 = 557.14/x
  3. Step 3: Cross multiply
    654.02x = 975.40 × 557.14
  4. Step 4: Simplify right side
    654.02x = 543,434.36
  5. Step 5: Solve for x
    x = 543,434.36/654.02
  6. Step 6: Final answer
    x = 830.91

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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.