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Finding the Fourth Proportional to 650.61, 897.90 and 510.98

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Solution

The fourth proportional to 650.61, 897.90 and 510.98 is: 705.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.61 : 897.90 = 510.98 : x
  2. Step 2: Convert to fraction form
    650.61/897.90 = 510.98/x
  3. Step 3: Cross multiply
    650.61x = 897.90 × 510.98
  4. Step 4: Simplify right side
    650.61x = 458,809.27
  5. Step 5: Solve for x
    x = 458,809.27/650.61
  6. Step 6: Final answer
    x = 705.20

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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.