Home / 1,312.23-1,966.95-434.50

Finding the Fourth Proportional to 1,312.23, 1,966.95 and 434.50

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Solution

The fourth proportional to 1,312.23, 1,966.95 and 434.50 is: 651.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.23 : 1,966.95 = 434.50 : x
  2. Step 2: Convert to fraction form
    1,312.23/1,966.95 = 434.50/x
  3. Step 3: Cross multiply
    1,312.23x = 1,966.95 × 434.50
  4. Step 4: Simplify right side
    1,312.23x = 854,639.78
  5. Step 5: Solve for x
    x = 854,639.78/1,312.23
  6. Step 6: Final answer
    x = 651.29

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Half scale
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Double scale
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1.5x scale

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.