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Finding the Fourth Proportional to 629.87, 870.05 and 525.30

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Solution

The fourth proportional to 629.87, 870.05 and 525.30 is: 725.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.87 : 870.05 = 525.30 : x
  2. Step 2: Convert to fraction form
    629.87/870.05 = 525.30/x
  3. Step 3: Cross multiply
    629.87x = 870.05 × 525.30
  4. Step 4: Simplify right side
    629.87x = 457,030.29
  5. Step 5: Solve for x
    x = 457,030.29/629.87
  6. Step 6: Final answer
    x = 725.60

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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.