Home / 1,526.86-2,290.02-430.98

Finding the Fourth Proportional to 1,526.86, 2,290.02 and 430.98

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Solution

The fourth proportional to 1,526.86, 2,290.02 and 430.98 is: 646.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.86 : 2,290.02 = 430.98 : x
  2. Step 2: Convert to fraction form
    1,526.86/2,290.02 = 430.98/x
  3. Step 3: Cross multiply
    1,526.86x = 2,290.02 × 430.98
  4. Step 4: Simplify right side
    1,526.86x = 986,952.82
  5. Step 5: Solve for x
    x = 986,952.82/1,526.86
  6. Step 6: Final answer
    x = 646.39

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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.