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Finding the Fourth Proportional to 760.86, 1,050.40 and 527.58

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Solution

The fourth proportional to 760.86, 1,050.40 and 527.58 is: 728.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.86 : 1,050.40 = 527.58 : x
  2. Step 2: Convert to fraction form
    760.86/1,050.40 = 527.58/x
  3. Step 3: Cross multiply
    760.86x = 1,050.40 × 527.58
  4. Step 4: Simplify right side
    760.86x = 554,170.03
  5. Step 5: Solve for x
    x = 554,170.03/760.86
  6. Step 6: Final answer
    x = 728.35

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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.