Home / 1,312.40-1,968.67-434.89

Finding the Fourth Proportional to 1,312.40, 1,968.67 and 434.89

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Solution

The fourth proportional to 1,312.40, 1,968.67 and 434.89 is: 652.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.40 : 1,968.67 = 434.89 : x
  2. Step 2: Convert to fraction form
    1,312.40/1,968.67 = 434.89/x
  3. Step 3: Cross multiply
    1,312.40x = 1,968.67 × 434.89
  4. Step 4: Simplify right side
    1,312.40x = 856,146.83
  5. Step 5: Solve for x
    x = 856,146.83/1,312.40
  6. Step 6: Final answer
    x = 652.35

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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.