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Finding the Fourth Proportional to 760.32, 1,048.19 and 715.23

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Solution

The fourth proportional to 760.32, 1,048.19 and 715.23 is: 986.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.32 : 1,048.19 = 715.23 : x
  2. Step 2: Convert to fraction form
    760.32/1,048.19 = 715.23/x
  3. Step 3: Cross multiply
    760.32x = 1,048.19 × 715.23
  4. Step 4: Simplify right side
    760.32x = 749,693.36
  5. Step 5: Solve for x
    x = 749,693.36/760.32
  6. Step 6: Final answer
    x = 986.02

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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.