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Finding the Fourth Proportional to 570.14, 859.44 and 532.50

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Solution

The fourth proportional to 570.14, 859.44 and 532.50 is: 802.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.14 : 859.44 = 532.50 : x
  2. Step 2: Convert to fraction form
    570.14/859.44 = 532.50/x
  3. Step 3: Cross multiply
    570.14x = 859.44 × 532.50
  4. Step 4: Simplify right side
    570.14x = 457,651.80
  5. Step 5: Solve for x
    x = 457,651.80/570.14
  6. Step 6: Final answer
    x = 802.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.