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Finding the Fourth Proportional to 538.47, 801.71 and 530.80

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Solution

The fourth proportional to 538.47, 801.71 and 530.80 is: 790.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.47 : 801.71 = 530.80 : x
  2. Step 2: Convert to fraction form
    538.47/801.71 = 530.80/x
  3. Step 3: Cross multiply
    538.47x = 801.71 × 530.80
  4. Step 4: Simplify right side
    538.47x = 425,550.26
  5. Step 5: Solve for x
    x = 425,550.26/538.47
  6. Step 6: Final answer
    x = 790.29

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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.