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Finding the Fourth Proportional to 589.68, 815.40 and 507.60

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Solution

The fourth proportional to 589.68, 815.40 and 507.60 is: 701.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.68 : 815.40 = 507.60 : x
  2. Step 2: Convert to fraction form
    589.68/815.40 = 507.60/x
  3. Step 3: Cross multiply
    589.68x = 815.40 × 507.60
  4. Step 4: Simplify right side
    589.68x = 413,897.04
  5. Step 5: Solve for x
    x = 413,897.04/589.68
  6. Step 6: Final answer
    x = 701.90

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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.