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Finding the Fourth Proportional to 698.32, 962.85 and 573.58

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Solution

The fourth proportional to 698.32, 962.85 and 573.58 is: 790.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.32 : 962.85 = 573.58 : x
  2. Step 2: Convert to fraction form
    698.32/962.85 = 573.58/x
  3. Step 3: Cross multiply
    698.32x = 962.85 × 573.58
  4. Step 4: Simplify right side
    698.32x = 552,271.50
  5. Step 5: Solve for x
    x = 552,271.50/698.32
  6. Step 6: Final answer
    x = 790.86

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1.5x scale

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.