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Finding the Fourth Proportional to 562.58, 840.18 and 471.35

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Solution

The fourth proportional to 562.58, 840.18 and 471.35 is: 703.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.58 : 840.18 = 471.35 : x
  2. Step 2: Convert to fraction form
    562.58/840.18 = 471.35/x
  3. Step 3: Cross multiply
    562.58x = 840.18 × 471.35
  4. Step 4: Simplify right side
    562.58x = 396,014.64
  5. Step 5: Solve for x
    x = 396,014.64/562.58
  6. Step 6: Final answer
    x = 703.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.