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Finding the Fourth Proportional to 570.40, 785.36 and 472

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Solution

The fourth proportional to 570.40, 785.36 and 472 is: 649.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.40 : 785.36 = 472 : x
  2. Step 2: Convert to fraction form
    570.40/785.36 = 472/x
  3. Step 3: Cross multiply
    570.40x = 785.36 × 472
  4. Step 4: Simplify right side
    570.40x = 370,689.92
  5. Step 5: Solve for x
    x = 370,689.92/570.40
  6. Step 6: Final answer
    x = 649.88

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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.