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Finding the Fourth Proportional to 593.40, 885.72 and 520.50

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Solution

The fourth proportional to 593.40, 885.72 and 520.50 is: 776.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.40 : 885.72 = 520.50 : x
  2. Step 2: Convert to fraction form
    593.40/885.72 = 520.50/x
  3. Step 3: Cross multiply
    593.40x = 885.72 × 520.50
  4. Step 4: Simplify right side
    593.40x = 461,017.26
  5. Step 5: Solve for x
    x = 461,017.26/593.40
  6. Step 6: Final answer
    x = 776.91

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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.