Home / 1,030.02-1,421.41-557.90

Finding the Fourth Proportional to 1,030.02, 1,421.41 and 557.90

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Solution

The fourth proportional to 1,030.02, 1,421.41 and 557.90 is: 769.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.02 : 1,421.41 = 557.90 : x
  2. Step 2: Convert to fraction form
    1,030.02/1,421.41 = 557.90/x
  3. Step 3: Cross multiply
    1,030.02x = 1,421.41 × 557.90
  4. Step 4: Simplify right side
    1,030.02x = 793,004.64
  5. Step 5: Solve for x
    x = 793,004.64/1,030.02
  6. Step 6: Final answer
    x = 769.89

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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.