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Finding the Fourth Proportional to 687.50, 946.80 and 625.98

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Solution

The fourth proportional to 687.50, 946.80 and 625.98 is: 862.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.50 : 946.80 = 625.98 : x
  2. Step 2: Convert to fraction form
    687.50/946.80 = 625.98/x
  3. Step 3: Cross multiply
    687.50x = 946.80 × 625.98
  4. Step 4: Simplify right side
    687.50x = 592,677.86
  5. Step 5: Solve for x
    x = 592,677.86/687.50
  6. Step 6: Final answer
    x = 862.08

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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.