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Finding the Fourth Proportional to 880.51, 1,215.10 and 507.49

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Solution

The fourth proportional to 880.51, 1,215.10 and 507.49 is: 700.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.51 : 1,215.10 = 507.49 : x
  2. Step 2: Convert to fraction form
    880.51/1,215.10 = 507.49/x
  3. Step 3: Cross multiply
    880.51x = 1,215.10 × 507.49
  4. Step 4: Simplify right side
    880.51x = 616,642.49
  5. Step 5: Solve for x
    x = 616,642.49/880.51
  6. Step 6: Final answer
    x = 700.32

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1.5x scale

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.