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Finding the Fourth Proportional to 590.40, 880.56 and 525.60

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Solution

The fourth proportional to 590.40, 880.56 and 525.60 is: 783.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.40 : 880.56 = 525.60 : x
  2. Step 2: Convert to fraction form
    590.40/880.56 = 525.60/x
  3. Step 3: Cross multiply
    590.40x = 880.56 × 525.60
  4. Step 4: Simplify right side
    590.40x = 462,822.34
  5. Step 5: Solve for x
    x = 462,822.34/590.40
  6. Step 6: Final answer
    x = 783.91

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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.