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Finding the Fourth Proportional to 586.43, 807.62 and 503.51

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Solution

The fourth proportional to 586.43, 807.62 and 503.51 is: 693.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.43 : 807.62 = 503.51 : x
  2. Step 2: Convert to fraction form
    586.43/807.62 = 503.51/x
  3. Step 3: Cross multiply
    586.43x = 807.62 × 503.51
  4. Step 4: Simplify right side
    586.43x = 406,638.19
  5. Step 5: Solve for x
    x = 406,638.19/586.43
  6. Step 6: Final answer
    x = 693.42

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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.