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Finding the Fourth Proportional to 653.00, 903.14 and 642.06

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Solution

The fourth proportional to 653.00, 903.14 and 642.06 is: 888.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.00 : 903.14 = 642.06 : x
  2. Step 2: Convert to fraction form
    653.00/903.14 = 642.06/x
  3. Step 3: Cross multiply
    653.00x = 903.14 × 642.06
  4. Step 4: Simplify right side
    653.00x = 579,866.86
  5. Step 5: Solve for x
    x = 579,866.86/653.00
  6. Step 6: Final answer
    x = 888.01

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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.