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Finding the Fourth Proportional to 586.42, 807.62 and 487.28

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Solution

The fourth proportional to 586.42, 807.62 and 487.28 is: 671.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.42 : 807.62 = 487.28 : x
  2. Step 2: Convert to fraction form
    586.42/807.62 = 487.28/x
  3. Step 3: Cross multiply
    586.42x = 807.62 × 487.28
  4. Step 4: Simplify right side
    586.42x = 393,539.40
  5. Step 5: Solve for x
    x = 393,539.40/586.42
  6. Step 6: Final answer
    x = 671.08

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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.