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Finding the Fourth Proportional to 586.20, 870.63 and 575.40

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Solution

The fourth proportional to 586.20, 870.63 and 575.40 is: 854.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.20 : 870.63 = 575.40 : x
  2. Step 2: Convert to fraction form
    586.20/870.63 = 575.40/x
  3. Step 3: Cross multiply
    586.20x = 870.63 × 575.40
  4. Step 4: Simplify right side
    586.20x = 500,960.50
  5. Step 5: Solve for x
    x = 500,960.50/586.20
  6. Step 6: Final answer
    x = 854.59

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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.