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Finding the Fourth Proportional to 586.08, 807.62 and 498.60

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Solution

The fourth proportional to 586.08, 807.62 and 498.60 is: 687.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.08 : 807.62 = 498.60 : x
  2. Step 2: Convert to fraction form
    586.08/807.62 = 498.60/x
  3. Step 3: Cross multiply
    586.08x = 807.62 × 498.60
  4. Step 4: Simplify right side
    586.08x = 402,679.33
  5. Step 5: Solve for x
    x = 402,679.33/586.08
  6. Step 6: Final answer
    x = 687.07

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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.