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Finding the Fourth Proportional to 530.40, 731.94 and 297.50

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Solution

The fourth proportional to 530.40, 731.94 and 297.50 is: 410.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.40 : 731.94 = 297.50 : x
  2. Step 2: Convert to fraction form
    530.40/731.94 = 297.50/x
  3. Step 3: Cross multiply
    530.40x = 731.94 × 297.50
  4. Step 4: Simplify right side
    530.40x = 217,752.15
  5. Step 5: Solve for x
    x = 217,752.15/530.40
  6. Step 6: Final answer
    x = 410.54

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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.