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Finding the Fourth Proportional to 586.32, 805.20 and 503.40

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Solution

The fourth proportional to 586.32, 805.20 and 503.40 is: 691.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.32 : 805.20 = 503.40 : x
  2. Step 2: Convert to fraction form
    586.32/805.20 = 503.40/x
  3. Step 3: Cross multiply
    586.32x = 805.20 × 503.40
  4. Step 4: Simplify right side
    586.32x = 405,337.68
  5. Step 5: Solve for x
    x = 405,337.68/586.32
  6. Step 6: Final answer
    x = 691.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.