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Finding the Fourth Proportional to 1,030.40, 1,545.52 and 536.80

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Solution

The fourth proportional to 1,030.40, 1,545.52 and 536.80 is: 805.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.40 : 1,545.52 = 536.80 : x
  2. Step 2: Convert to fraction form
    1,030.40/1,545.52 = 536.80/x
  3. Step 3: Cross multiply
    1,030.40x = 1,545.52 × 536.80
  4. Step 4: Simplify right side
    1,030.40x = 829,635.14
  5. Step 5: Solve for x
    x = 829,635.14/1,030.40
  6. Step 6: Final answer
    x = 805.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.