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Finding the Fourth Proportional to 590.96, 880.54 and 526.30

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Solution

The fourth proportional to 590.96, 880.54 and 526.30 is: 784.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.96 : 880.54 = 526.30 : x
  2. Step 2: Convert to fraction form
    590.96/880.54 = 526.30/x
  3. Step 3: Cross multiply
    590.96x = 880.54 × 526.30
  4. Step 4: Simplify right side
    590.96x = 463,424.68
  5. Step 5: Solve for x
    x = 463,424.68/590.96
  6. Step 6: Final answer
    x = 784.19

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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.