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Finding the Fourth Proportional to 651.86, 900.36 and 642.14

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Solution

The fourth proportional to 651.86, 900.36 and 642.14 is: 886.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.86 : 900.36 = 642.14 : x
  2. Step 2: Convert to fraction form
    651.86/900.36 = 642.14/x
  3. Step 3: Cross multiply
    651.86x = 900.36 × 642.14
  4. Step 4: Simplify right side
    651.86x = 578,152.67
  5. Step 5: Solve for x
    x = 578,152.67/651.86
  6. Step 6: Final answer
    x = 886.93

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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.