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Finding the Fourth Proportional to 586.76, 875.86 and 543.32

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Solution

The fourth proportional to 586.76, 875.86 and 543.32 is: 811.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.76 : 875.86 = 543.32 : x
  2. Step 2: Convert to fraction form
    586.76/875.86 = 543.32/x
  3. Step 3: Cross multiply
    586.76x = 875.86 × 543.32
  4. Step 4: Simplify right side
    586.76x = 475,872.26
  5. Step 5: Solve for x
    x = 475,872.26/586.76
  6. Step 6: Final answer
    x = 811.02

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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.